On the public citation graph
The discrete Korteweg-de Vries equation
0 signed · 344 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/cpa.3160300106openalex-snapshot
Rational and elliptic solutions of the korteweg‐de vries equation and a related many‐body problem
inferredcites →https://doi.org/10.1002/cpa.3160420405openalex-snapshot
Matrix factorizations and integrable systems
inferredcites →https://doi.org/10.1002/sapm1974534249openalex-snapshot
The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
inferredcites →https://doi.org/10.1002/sapm1976553213openalex-snapshot
A Nonlinear Difference Scheme and Inverse Scattering
inferredcites →https://doi.org/10.1007/3-540-16039-6openalex-snapshot
Geometric Aspects of the Einstein Equations and Integrable Systems
inferredcites →https://doi.org/10.1007/3-540-16039-6_8openalex-snapshot
Integrable lattice systems in two and three dimensions
inferredcites →https://doi.org/10.1007/3-540-16452-9_10openalex-snapshot
Liouville model on the lattice
inferredcites →https://doi.org/10.1007/978-3-0348-6558-6openalex-snapshot
Padé-Type Approximation and General Orthogonal Polynomials
inferredcites →https://doi.org/10.1007/978-3-642-50824-0openalex-snapshot
Vorlesungen über Differenzenrechnung
inferredcites →https://doi.org/10.1007/978-3-642-58045-1openalex-snapshot
Important Developments in Soliton Theory
inferredcites →https://doi.org/10.1007/978-3-642-58045-1_4openalex-snapshot
Integrable Lattice Equations
inferredcites →https://doi.org/10.1007/978-94-011-2082-1openalex-snapshot
Applications of Analytic and Geometric Methods to Nonlinear Differential Equations
inferredcites →https://doi.org/10.1007/978-94-011-2082-1_17openalex-snapshot
Integrabile Quantum Mappings and Quantization Aspects of Integrable Discrete-Time Systems
inferredcites →https://doi.org/10.1007/978-94-011-2082-1_30openalex-snapshot
Discrete Painlevé Equations: Derivation and Properties
inferredcites →https://doi.org/10.1007/bf00739089openalex-snapshot
Orthogonal polynomial approach to discrete Lax pairs for initial boundary-value problems of the QD algorithm
inferredcites →https://doi.org/10.1007/bf00751068openalex-snapshot
On aq-deformation of the discrete Painlevé I equation andq-orthogonal polynomials
inferredcites →https://doi.org/10.1007/bf01015552openalex-snapshot
Quantum inverse scattering method on a spacetime lattice
inferredcites →https://doi.org/10.1007/bf01078586openalex-snapshot
Integrable mappings of the standard type
inferredcites →https://doi.org/10.1007/bf01079590openalex-snapshot
Integrable Lagrangian correspondences and the factorization of matrix polynomials
inferredcites →https://doi.org/10.1007/bf02099285openalex-snapshot
Growth and integrability in the dynamics of mappings
inferredcites →https://doi.org/10.1007/bf02102066openalex-snapshot
Discrete Painlevé equations and their appearance in quantum gravity
inferredcites →https://doi.org/10.1007/bf02352494openalex-snapshot
Discrete versions of some classical integrable systems and factorization of matrix polynomials
inferredcites →https://doi.org/10.1007/bf02393211openalex-snapshot
Sur les équations différentielles du second ordre et du premier degré dont l'intégrale générale est a points critiques fixes
inferredcites →https://doi.org/10.1007/bf02419020openalex-snapshot
Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme
inferredcites →https://doi.org/10.1007/bfb0021447openalex-snapshot
Quantization of integrable mappings
inferredcites →https://doi.org/10.1007/bfb0089363openalex-snapshot
Accélération de la Convergence en Analyse Numérique
inferredcites →https://doi.org/10.1007/bfb0101197openalex-snapshot
Integrable time-discrete systems: Lattices and mappings
inferredcites →https://doi.org/10.1016/0001-8708(75)90148-6openalex-snapshot
On an explicitly soluble system of nonlinear differential equations related to certain toda lattices
inferredcites →https://doi.org/10.1016/0167-2789(88)90003-6openalex-snapshot
Linear integral transformations and hierarchies of integrable nonlinear evolution equations
inferredcites →https://doi.org/10.1016/0167-2789(91)90149-4openalex-snapshot
Integrable symplectic maps
inferredcites →https://doi.org/10.1016/0375-9601(82)90817-9openalex-snapshot
Linearization of the Boussinesq equation and the modified Boussinesq equation
inferredcites →https://doi.org/10.1016/0375-9601(83)90192-5openalex-snapshot
Direct linearization of nonlinear difference-difference equations
inferredcites →https://doi.org/10.1016/0375-9601(84)90994-0openalex-snapshot
Bäcklund transformations and three-dimensional lattice equations
inferredcites →https://doi.org/10.1016/0375-9601(88)90803-1openalex-snapshot
Integrable mappings and soliton equations
inferredcites →https://doi.org/10.1016/0375-9601(89)90483-0openalex-snapshot
Lattice equations associated with the Landau-Lifschitz equations
inferredcites →https://doi.org/10.1016/0375-9601(90)90876-popenalex-snapshot
Integrable mappings and nonlinear integrable lattice equations
inferredcites →https://doi.org/10.1016/0375-9601(91)90955-8openalex-snapshot
Similarity reductions of integrable lattices and discrete analogues of the Painlevé II equation
inferredcites →https://doi.org/10.1016/0375-9601(91)91043-dopenalex-snapshot
Complete integrability of Lagrangian mappings and lattices of KdV type
inferredcites →https://doi.org/10.1016/0375-9601(92)90159-jopenalex-snapshot
Integrable quantum mappings and non-ultralocal Yang-Baxter structures
inferredcites →https://doi.org/10.1016/0375-9601(92)90681-bopenalex-snapshot
Integrable two-dimensional quantum mappings
inferredcites →https://doi.org/10.1016/0375-9601(92)90905-2openalex-snapshot
Isomonodromic deformation problems for discrete analogues of Painlevé equations
inferredcites →https://doi.org/10.1016/0375-9601(93)90658-mopenalex-snapshot
Integrable lattices and convergence acceleration algorithms
inferredcites →https://doi.org/10.1016/0375-9601(94)90566-5openalex-snapshot
A time-discretized version of the Calogero-Moser model
inferredcites →https://doi.org/10.1016/0378-4371(83)90150-4openalex-snapshot
On some linear integral equations generating solutions of nonlinear partial differential equations
inferredcites →https://doi.org/10.1016/0378-4371(84)90059-1openalex-snapshot
Linear integral equations and nonlinear difference-difference equations
inferredcites →https://doi.org/10.1016/0378-4371(87)90024-0openalex-snapshot
Lattice equations, hierarchies and Hamiltonian structures
inferredcites →https://doi.org/10.1016/0550-3213(91)90201-8openalex-snapshot
Universality in two-dimensional quantum gravity
inferredcites →https://doi.org/10.1016/0550-3213(92)90218-zopenalex-snapshot
Non-perturbative two-dimensional quantum gravity
inferredcites →https://doi.org/10.1017/9781108120241.010openalex-snapshot
Ordinary Differential Equations
inferredcites →https://doi.org/10.1017/cbo9780511623998openalex-snapshot
Solitons, Nonlinear Evolution Equations and Inverse Scattering
inferredcites →https://doi.org/10.1063/1.526490openalex-snapshot
The direct linearization of a class of nonlinear evolution equations
inferredcites →https://doi.org/10.1070/rm1980v035n06abeh001974openalex-snapshot
HOLOMORPHIC BUNDLES OVER ALGEBRAIC CURVES AND NON-LINEAR EQUATIONS
inferredcites →https://doi.org/10.1070/rm1991v046n02abeh002789openalex-snapshot
Composition of solutions of quadratic Diophantine equations
inferredcites →https://doi.org/10.1080/14786449508620739openalex-snapshot
XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
inferredcites →https://doi.org/10.1088/0266-5611/6/4/008openalex-snapshot
The direct linearisation approach to hierarchies of integrable PDEs in 2 + 1 dimensions: I. Lattice equations and the differential-difference hierarchies
inferredcites →https://doi.org/10.1088/0266-5611/8/4/010openalex-snapshot
The lattice Gel'fand-Dikii hierarchy
inferredcites →https://doi.org/10.1088/0305-4470/14/7/013openalex-snapshot
Integrable three-dimensional lattices
inferredcites →https://doi.org/10.1090/crmp/009/23openalex-snapshot
Discrete-time Calogero-Moser model and lattice KP equations
inferredcites →https://doi.org/10.1090/s0002-9947-1911-1500888-5openalex-snapshot
General Theory of Linear Difference Equations
inferredcites →https://doi.org/10.1103/physrevlett.19.1095openalex-snapshot
Method for Solving the Korteweg-deVries Equation
inferredcites →https://doi.org/10.1103/physrevlett.47.1096openalex-snapshot
Linearization of the Korteweg—de Vries and Painlevé II Equations
inferredcites →https://doi.org/10.1103/physrevlett.64.127openalex-snapshot
Nonperturbative two-dimensional quantum gravity
inferredcites →https://doi.org/10.1103/physrevlett.67.1829openalex-snapshot
Discrete versions of the Painlevé equations
inferredcites →https://doi.org/10.1137/1.9781611970883openalex-snapshot
Solitons and the Inverse Scattering Transform
inferredcites →https://doi.org/10.1137/1014001openalex-snapshot
The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
inferredcites →https://doi.org/10.1143/jpsj.43.1424openalex-snapshot
Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
inferredcites →https://doi.org/10.1143/jpsj.50.3785openalex-snapshot
Discrete Analogue of a Generalized Toda Equation
inferredcites →https://doi.org/10.1143/jpsj.51.4116openalex-snapshot
Method for Generating Discrete Soliton Equations. I
inferredcites →https://doi.org/10.1143/jpsj.52.766openalex-snapshot
Method for Generating Discrete Soliton Equations. V
inferredcites →https://doi.org/10.24033/bsmf.633openalex-snapshot
Mémoire sur les équations différentielles dont l'intégrale générale est uniforme
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-1-4020-3503-6_22openalex-snapshot
A TWO-PARAMETER ELLIPTIC EXTENSION OF THE LATTICE KdV SYSTEM
inferred← citeshttps://doi.org/10.1007/978-1-4612-1532-5_7openalex-snapshot
Discrete Painlevé Equations
inferred← citeshttps://doi.org/10.1007/978-1-4612-2434-1_12openalex-snapshot
On some “Schwarzian” Equations and their Discrete Analogues
inferred← citeshttps://doi.org/10.1007/978-1-4899-1801-7_4openalex-snapshot
Quantum Integrable Models on 1 + 1 Discrete Space Time
inferred← citeshttps://doi.org/10.1007/978-3-031-59539-4_10openalex-snapshot
Construction of Multi-wave Solutions of Nonlinear Equations with Variable Coefficients Arising in Fluid Mechanics
inferred← citeshttps://doi.org/10.1007/978-3-031-59539-4_6openalex-snapshot
A Natural Full-Discretization of the Korteweg-de-Vries Equation
inferred← citeshttps://doi.org/10.1007/978-3-319-56666-5_3openalex-snapshot
Integrability of Difference Equations Through Algebraic Entropy and Generalized Symmetries
inferred← citeshttps://doi.org/10.1007/978-3-319-56666-5_5openalex-snapshot
Discrete Integrable Systems, Darboux Transformations, and Yang–Baxter Maps
inferred← citeshttps://doi.org/10.1007/978-3-662-50447-5_1openalex-snapshot
Discrete Conformal Maps: Boundary Value Problems, Circle Domains, Fuchsian and Schottky Uniformization
inferred← citeshttps://doi.org/10.1007/s00158-024-03767-1openalex-snapshot
Parametric generation of optimal structures through discrete exponential functions: unveiling connections between structural optimality and discrete isothermicity
inferred← citeshttps://doi.org/10.1007/s00332-022-09835-4openalex-snapshot
Elliptic Soliton Solutions: $$\tau $$ Functions, Vertex Operators and Bilinear Identities
inferred← citeshttps://doi.org/10.1007/s00454-024-00640-2openalex-snapshot
The Schwarzian Octahedron Recurrence (dSKP Equation) II: Geometric Systems
inferred← citeshttps://doi.org/10.1007/s10440-004-5557-9openalex-snapshot
Cauchy Problem for Integrable Discrete Equations on Quad-Graphs
inferred← citeshttps://doi.org/10.1007/s10958-021-05491-3openalex-snapshot
Invariant Manifolds of Hyperbolic Integrable Equations and their Applications
inferred← citeshttps://doi.org/10.1007/s11005-016-0855-5openalex-snapshot
Darboux Transformation for the Vector Sine-Gordon Equation and Integrable Equations on a Sphere
inferred← citeshttps://doi.org/10.1007/s11005-020-01255-3openalex-snapshot
Integrable quad equations derived from the quantum Yang–Baxter equation
inferred← citeshttps://doi.org/10.1007/s11040-025-09537-9openalex-snapshot
On the Dbar Method and Direct Linearization Approach of the Lattice KdV Type Equations
inferred← citeshttps://doi.org/10.1007/s11232-007-0064-6openalex-snapshot
Characteristic Lie algebra and classification of semidiscrete models
inferred← citeshttps://doi.org/10.1007/s11232-011-0033-yopenalex-snapshot
Recursion operators, conservation laws, and integrability conditions for difference equations
inferred← citeshttps://doi.org/10.1007/s11232-011-0059-1openalex-snapshot
An algebraic method for classifying S-integrable discrete models
inferred← citeshttps://doi.org/10.1007/s11232-011-0066-2openalex-snapshot
Integrability of differential-difference equations with discrete kinks
inferred← citeshttps://doi.org/10.1007/s11464-016-0542-yopenalex-snapshot
Spectrum transformation and conservation laws of lattice potential KdV equation
inferred← citeshttps://doi.org/10.1007/s40010-017-0369-2openalex-snapshot
A Modified Analytical Approach for Fractional Discrete KdV Equations Arising in Particle Vibrations
inferred← citeshttps://doi.org/10.1016/0378-4371(95)00440-8openalex-snapshot
On some integrable discrete-time systems associated with the Bogoyavlensky lattices
inferred← citeshttps://doi.org/10.1016/j.apnum.2023.05.018openalex-snapshot
Consistency around a cube property of Hirota's discrete KdV equation and the lattice sine-Gordon equation
inferred← citeshttps://doi.org/10.1016/j.cnsns.2014.11.003openalex-snapshot
Self-adjointness and conservation laws of difference equations
inferred← citeshttps://doi.org/10.1016/j.jmaa.2006.09.026openalex-snapshot
Integrability conditions for nonautonomous quad-graph equations
inferred← citeshttps://doi.org/10.1016/j.na.2009.10.029openalex-snapshot
Discretization of nonlinear evolution equations over associative function algebras
inferred← citeshttps://doi.org/10.1016/j.nuclphysb.2007.05.013openalex-snapshot
Faddeev–Volkov solution of the Yang–Baxter equation and discrete conformal symmetry
inferred← citeshttps://doi.org/10.1016/j.physa.2003.09.020openalex-snapshot
Complete integrability and singularity confinement of nonautonomous modified Korteweg–de Vries and sine Gordon mappings
inferred← citeshttps://doi.org/10.1016/j.physa.2026.131317openalex-snapshot
On the formulation of the NQC variable
inferred← citeshttps://doi.org/10.1016/j.physa.2026.132078openalex-snapshot
Dual r matrix structure for classical and quantum mappings of KdV type
inferred← citeshttps://doi.org/10.1016/j.physd.2024.134200openalex-snapshot
Non-abelian discrete Toda chains and related lattices
inferred← citeshttps://doi.org/10.1016/j.physd.2025.134745openalex-snapshot
Direct linearisation of the non-commutative Kadomtsev–Petviashvili equations
inferred← citeshttps://doi.org/10.1016/j.physd.2026.135372openalex-snapshot
Bilinear structures of the fourth-order lattice Gel’fand-Dikii equations
inferred← citeshttps://doi.org/10.1016/j.physleta.2006.10.040openalex-snapshot
Ultradiscrete Miura transformation
inferred← citeshttps://doi.org/10.1016/j.physleta.2007.10.053openalex-snapshot
Exact solution of the Faddeev–Volkov model
inferred← citeshttps://doi.org/10.1016/j.physleta.2012.10.009openalex-snapshot
On non-multiaffine consistent-around-the-cube lattice equations
inferred← citeshttps://doi.org/10.1016/j.physleta.2014.04.021openalex-snapshot
Discrete KP equation with self-consistent sources
inferred← citeshttps://doi.org/10.1016/j.physleta.2020.126966openalex-snapshot
Tri-Hamiltonian duality system of Merola-Ragnisco-Tu equation
inferred← citeshttps://doi.org/10.1016/j.physleta.2026.132110openalex-snapshot
Semidiscrete principal chiral field equation with a self-consistent potential: Darboux transformation, solitons and higher-order smooth positons
inferred← citeshttps://doi.org/10.1016/s0375-9601(00)00063-3openalex-snapshot
On a Schwarzian PDE associated with the KdV hierarchy
inferred← citeshttps://doi.org/10.1016/s0375-9601(00)00258-9openalex-snapshot
Lagrangian time-discretization of the Korteweg–de Vries equation
inferred← citeshttps://doi.org/10.1016/s0375-9601(02)00287-6openalex-snapshot
Lax pair for the Adler (lattice Krichever–Novikov) system
inferred← citeshttps://doi.org/10.1016/s0375-9601(99)00764-1openalex-snapshot
On the discrete and continuous Miura chain associated with the sixth Painlevé equation
inferred← citeshttps://doi.org/10.1016/s0378-4371(00)00314-9openalex-snapshot
A new family of four-dimensional symplectic and integrable mappings
inferred← citeshttps://doi.org/10.1016/s0378-4371(97)00260-4openalex-snapshot
Modified r-matrix and separation of variables for the modified Korteweg-de Vries (MKdV) hierarchy
inferred← citeshttps://doi.org/10.1016/s0378-4371(97)00267-7openalex-snapshot
Two new hierarchies containing the sine-Gordon and sinh-Gordon equation, and their Lax representations
inferred← citeshttps://doi.org/10.1016/s0378-4371(97)00587-6openalex-snapshot
New hierarchies of isospectral and non-isospectral integrable NLEEs derived from the Harry–Dym spectral problem
inferred← citeshttps://doi.org/10.1017/s0017089501000106openalex-snapshot
The discrete and continuous Painlevé VI hierarchy and the Garnier systems
inferred← citeshttps://doi.org/10.1023/a:1021249131979openalex-snapshot
Integrable Noncommutative Equations on Quad-graphs. The Consistency Approach
inferred← citeshttps://doi.org/10.1023/a:1021828008831openalex-snapshot
Homoclinic Orbits for a Perturbed Lattice Modified KdV Equation
inferred← citeshttps://doi.org/10.1063/1.1586966openalex-snapshot
Hexagonal circle patterns with constant intersection angles and discrete Painlevé and Riccati equations
inferred← citeshttps://doi.org/10.1063/1.2190776openalex-snapshot
Discrete reductive perturbation technique
inferred← citeshttps://doi.org/10.1063/1.2227641openalex-snapshot
Yang-Baxter maps and symmetries of integrable equations on quad-graphs
inferred← citeshttps://doi.org/10.1063/1.2406056openalex-snapshot
Integrable lattices and their sublattices: From the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme
inferred← citeshttps://doi.org/10.1063/1.2992950openalex-snapshot
On the classification of Darboux integrable chains
inferred← citeshttps://doi.org/10.1063/1.3177197openalex-snapshot
A completeness study on discrete, 2×2 Lax pairs
inferred← citeshttps://doi.org/10.1063/1.3251334openalex-snapshot
Complete list of Darboux integrable chains of the form t1x=tx+d(t,t1)
inferred← citeshttps://doi.org/10.1063/1.4931481openalex-snapshot
Lattice equations arising from discrete Painlevé systems. I. (A2 + A1)(1) and (A1+A1′)(1) cases
inferred← citeshttps://doi.org/10.1063/1.5023252openalex-snapshot
Reduction of lattice equations to the Painlevé equations: PIV and PV
inferred← citeshttps://doi.org/10.1063/1.5041947openalex-snapshot
A noncommutative discrete potential KdV lift
inferred← citeshttps://doi.org/10.1063/5.0038194openalex-snapshot
Lax systems and nonlinear equations on a time-space scale
inferred← citeshttps://doi.org/10.1063/5.0054905openalex-snapshot
Discrete Painlevé transcendent solutions to the multiplicative-type discrete KdV equations
inferred← citeshttps://doi.org/10.1080/14029251.2014.936759openalex-snapshot
The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation
inferred← citeshttps://doi.org/10.1080/14029251.2016.1204719openalex-snapshot
Explicit solutions for a nonlinear model on the honeycomb and triangular lattices
inferred← citeshttps://doi.org/10.1080/14029251.2018.1440741openalex-snapshot
On Decomposition of the ABS Lattice Equations and Related Bäcklund Transformations
inferred← citeshttps://doi.org/10.1080/14029251.2019.1544793openalex-snapshot
Rational solutions to Q3 δ in the Adler-Bobenko-Suris list and degenerations
inferred← citeshttps://doi.org/10.1080/14029251.2020.1819608openalex-snapshot
Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation
inferred← citeshttps://doi.org/10.1088/0253-6102/58/4/02openalex-snapshot
A Finite Genus Solution of the Veselov's Discrete Neumann System
inferred← citeshttps://doi.org/10.1088/0253-6102/63/6/669openalex-snapshot
Solutions and Continuum Limits of Two Semi-Discrete Lattice Potential Korteweg-de Vries Equations*
inferred← citeshttps://doi.org/10.1088/0256-307x/29/5/050202openalex-snapshot
Lax Pairs for Discrete Integrable Equations via Darboux Transformations
inferred← citeshttps://doi.org/10.1088/0256-307x/30/8/080202openalex-snapshot
From Nothing to Something: Discrete Integrable Systems
inferred← citeshttps://doi.org/10.1088/0266-5611/17/3/310openalex-snapshot
An integrable discretization of KdV at large times
inferred← citeshttps://doi.org/10.1088/0266-5611/26/11/115012openalex-snapshot
An inverse scattering transform for the lattice potential KdV equation
inferred← citeshttps://doi.org/10.1088/0305-4470/34/11/337openalex-snapshot
Piecewise-linear soliton equations and piecewise-linear integrable maps
inferred← citeshttps://doi.org/10.1088/0305-4470/34/17/308openalex-snapshot
Homoclinic orbits in the near-integrable double discrete sine-Gordon equation
inferred← citeshttps://doi.org/10.1088/0305-4470/35/29/313openalex-snapshot
Menelaus$apos$ theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy
inferred← citeshttps://doi.org/10.1088/0305-4470/36/1/309openalex-snapshot
A discrete Schr dinger spectral problem and associated evolution equations
inferred← citeshttps://doi.org/10.1088/0305-4470/36/3/313openalex-snapshot
Tetrahedra, octahedra and cubo-octahedra: integrable geometry of multi-ratios
inferred← citeshttps://doi.org/10.1088/0305-4470/37/6/l01openalex-snapshot
A new two-dimensional lattice model that is consistent around a cube
inferred← citeshttps://doi.org/10.1088/0305-4470/38/35/005openalex-snapshot
Multiple-scale analysis of discrete nonlinear partial difference equations: the reduction of the lattice potential KdV
inferred← citeshttps://doi.org/10.1088/0305-4470/38/43/007openalex-snapshot
Exact solutions of quantum mappings from the lattice KdV as multi-dimensional operator difference equations
inferred← citeshttps://doi.org/10.1088/0305-4470/39/45/014openalex-snapshot
Conservation laws for NQC-type difference equations
inferred← citeshttps://doi.org/10.1088/0951-7715/16/1/316openalex-snapshot
Loop groups and discrete KdV equations
inferred← citeshttps://doi.org/10.1088/0951-7715/25/6/1613openalex-snapshot
Multidimensional inverse scattering of integrable lattice equations
inferred← citeshttps://doi.org/10.1088/0951-7715/25/6/1851openalex-snapshot
The Schwarzian variable associated with discrete KdV-type equations
inferred← citeshttps://doi.org/10.1088/1361-6544/aad9acopenalex-snapshot
Closed-form modified Hamiltonians for integrable numerical integration schemes
inferred← citeshttps://doi.org/10.1088/1361-6544/aaecdaopenalex-snapshot
Algebraic entropy of (integrable) lattice equations and their reductions
inferred← citeshttps://doi.org/10.1088/1361-6544/abddcaopenalex-snapshot
Algebro-geometric integration of the Q1 lattice equation via nonlinear integrable symplectic maps
inferred← citeshttps://doi.org/10.1088/1361-6544/ac7498openalex-snapshot
Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies
inferred← citeshttps://doi.org/10.1088/1402-4896/aace67openalex-snapshot
Some extensions of Zakharov–Kuznetsov equations and their Gaussian solitary wave solutions
inferred← citeshttps://doi.org/10.1088/1402-4896/acfa3dopenalex-snapshot
Higher-order generalizations of the A 6 ( 1 ) - and A 4 ( 1 ) -surface type q-Painlevé equations
inferred← citeshttps://doi.org/10.1088/1402-4896/ad59e1openalex-snapshot
A higher-order generalization of an A 4 ( 1 ) -surface type q-Painlevé equation with W ˜ ( ( A 2 N ⋊ A 1 ) ( 1 ) × A 1 ( 1 ) ) symmetry
inferred← citeshttps://doi.org/10.1088/1572-9494/adc7daopenalex-snapshot
Trigonometric function solutions of Schwarzian Korteweg–de Vries equations
inferred← citeshttps://doi.org/10.1088/1742-6596/621/1/012005openalex-snapshot
Integrable discrete nonautonomous quad-equations as Bäcklund auto-transformations for known Volterra and Toda type semidiscrete equations
inferred← citeshttps://doi.org/10.1088/1742-6596/8/1/005openalex-snapshot
Generalized Ernst equations for plane symmetric spacetimes and compatible lattice structures
inferred← citeshttps://doi.org/10.1088/1751-8113/40/1/f01openalex-snapshot
Seed and soliton solutions for Adler's lattice equation
inferred← citeshttps://doi.org/10.1088/1751-8113/40/15/006openalex-snapshot
Continuous symmetries of the lattice potential KdV equation
inferred← citeshttps://doi.org/10.1088/1751-8113/40/2/f02openalex-snapshot
A Lax pair for a lattice modified KdV equation, reductions toq-Painlevé equations and associated Lax pairs
inferred← citeshttps://doi.org/10.1088/1751-8113/40/27/f03openalex-snapshot
Extension of the Adler–Bobenko–Suris classification of integrable lattice equations
inferred← citeshttps://doi.org/10.1088/1751-8113/40/34/005openalex-snapshot
Hierarchies of nonlinear integrableq-difference equations from series of Lax pairs
inferred← citeshttps://doi.org/10.1088/1751-8113/40/34/f02openalex-snapshot
Multiscale expansion of the lattice potential KdV equation on functions of an infinite slow-varyness order
inferred← citeshttps://doi.org/10.1088/1751-8113/40/42/s18openalex-snapshot
The lattice Schwarzian KdV equation and its symmetries
inferred← citeshttps://doi.org/10.1088/1751-8113/41/14/142001openalex-snapshot
Soliton solutions for Q3
inferred← citeshttps://doi.org/10.1088/1751-8113/41/2/025205openalex-snapshot
Discrete and ultradiscrete Bäcklund transformation for KdV equation
inferred← citeshttps://doi.org/10.1088/1751-8113/41/33/332005openalex-snapshot
q-difference equations of KdV type and Chazy-type second-degree difference equations
inferred← citeshttps://doi.org/10.1088/1751-8113/42/16/165203openalex-snapshot
Continuous symmetric reductions of the Adler–Bobenko–Suris equations
inferred← citeshttps://doi.org/10.1088/1751-8113/42/17/175205openalex-snapshot
Infinitely many conservation laws for the discrete KdV equation
inferred← citeshttps://doi.org/10.1088/1751-8113/42/40/404005openalex-snapshot
Soliton solutions for ABS lattice equations: I. Cauchy matrix approach
inferred← citeshttps://doi.org/10.1088/1751-8113/42/45/454002openalex-snapshot
How to detect the integrability of discrete systems
inferred← citeshttps://doi.org/10.1088/1751-8113/42/45/454003openalex-snapshot
Discrete integrable systems and deformations of associative algebras
inferred← citeshttps://doi.org/10.1088/1751-8113/42/45/454012openalex-snapshot
The generalized symmetry method for discrete equations
inferred← citeshttps://doi.org/10.1088/1751-8113/42/45/454018openalex-snapshot
Multiscale reduction of discrete Korteweg–de Vries equations
inferred← citeshttps://doi.org/10.1088/1751-8113/43/41/415202openalex-snapshot
A systematic method for constructing time discretizations of integrable lattice systems:localequations of motion
inferred← citeshttps://doi.org/10.1088/1751-8113/43/43/434017openalex-snapshot
On Darboux-integrable semi-discrete chains
inferred← citeshttps://doi.org/10.1088/1751-8113/43/46/465207openalex-snapshot
The staircase method: integrals for periodic reductions of integrable lattice equations
inferred← citeshttps://doi.org/10.1088/1751-8113/44/14/145207openalex-snapshot
Generalized symmetry integrability test for discrete equations on the square lattice
inferred← citeshttps://doi.org/10.1088/1751-8113/44/39/395201openalex-snapshot
Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves
inferred← citeshttps://doi.org/10.1088/1751-8113/44/46/465210openalex-snapshot
On some integrable lattice related by the Miura-type transformation to the Itoh–Narita–Bogoyavlenskii lattice
inferred← citeshttps://doi.org/10.1088/1751-8113/45/22/222001openalex-snapshot
A multidimensionally consistent version of Hirota’s discrete KdV equation
inferred← citeshttps://doi.org/10.1088/1751-8113/45/26/265201openalex-snapshot
Integrable symplectic maps associated with the ZS-AKNS spectral problem
inferred← citeshttps://doi.org/10.1088/1751-8113/45/5/055213openalex-snapshot
A finite genus solution of the H1 model
inferred← citeshttps://doi.org/10.1088/1751-8113/45/9/095203openalex-snapshot
A finite genus solution of the Hirota equation via integrable symplectic maps
inferred← citeshttps://doi.org/10.1088/1751-8113/46/1/015203openalex-snapshot
Lattice modified KdV hierarchy from a Lax pair expansion
inferred← citeshttps://doi.org/10.1088/1751-8113/46/14/145205openalex-snapshot
On various integrable discretizations of a general two-component Volterra system
inferred← citeshttps://doi.org/10.1088/1751-8113/46/15/155202openalex-snapshot
The Gardner method for symmetries
inferred← citeshttps://doi.org/10.1088/1751-8113/46/20/205202openalex-snapshot
Non-commutative lattice-modified Gel’fand–Dikii systems
inferred← citeshttps://doi.org/10.1088/1751-8113/46/30/305204openalex-snapshot
Tropical geometric interpretation of ultradiscrete singularity confinement
inferred← citeshttps://doi.org/10.1088/1751-8113/46/4/045204openalex-snapshot
Multi-indexed Wilson and Askey–Wilson polynomials
inferred← citeshttps://doi.org/10.1088/1751-8113/46/42/425201openalex-snapshot
Darboux transformations, finite reduction groups and related Yang–Baxter maps
inferred← citeshttps://doi.org/10.1088/1751-8113/46/50/502001openalex-snapshot
Supersymmetric KdV equation: Darboux transformation and discrete systems
inferred← citeshttps://doi.org/10.1088/1751-8113/46/9/095204openalex-snapshot
Discrete Painlevé equations and their Lax pairs as reductions of integrable lattice equations
inferred← citeshttps://doi.org/10.1088/1751-8113/47/16/165204openalex-snapshot
Quad-equations and auto-Bäcklund transformations of NLS-type systems
inferred← citeshttps://doi.org/10.1088/1751-8113/47/4/045202openalex-snapshot
Integrable discretization of ‘time’ and its application on the Fourier pseudospectral method to the Korteweg–de Vries equation
inferred← citeshttps://doi.org/10.1088/1751-8113/48/11/115203openalex-snapshot
Asymptotic diagonalization of the discrete Lax pair around singularities and conservation laws for dynamical systems
inferred← citeshttps://doi.org/10.1088/1751-8113/48/23/235201openalex-snapshot
Peculiar symmetry structure of some known discrete nonautonomous equations
inferred← citeshttps://doi.org/10.1088/1751-8113/48/8/085201openalex-snapshot
Signatures over finite fields of growth properties for lattice equations
inferred← citeshttps://doi.org/10.1088/1751-8113/49/30/30lt03openalex-snapshot
Anticommutative extension of the Adler map
inferred← citeshttps://doi.org/10.1088/1751-8121/aa639aopenalex-snapshot
Z N graded discrete Lax pairs and integrable difference equations
inferred← citeshttps://doi.org/10.1088/1751-8121/aace36openalex-snapshot
Direct linearisation of the discrete-time two-dimensional Toda lattices
inferred← citeshttps://doi.org/10.1088/1751-8121/aad4c4openalex-snapshot
Difference systems in bond and face variables and non-potential versions of discrete integrable systems
inferred← citeshttps://doi.org/10.1088/1751-8121/ab4b10openalex-snapshot
Solitons of the vector KdV and Yamilov lattices
inferred← citeshttps://doi.org/10.1088/1751-8121/ab59b3openalex-snapshot
Z N graded discrete integrable systems and Darboux transformations
inferred← citeshttps://doi.org/10.1088/1751-8121/ab88e2openalex-snapshot
Toda lattice hierarchy and soliton equations on square lattice
inferred← citeshttps://doi.org/10.1088/1751-8121/ab8b36openalex-snapshot
Symmetries of Z N graded discrete integrable systems
inferred← citeshttps://doi.org/10.1088/1751-8121/ad4d30openalex-snapshot
Lattice eigenfunction equations of KdV-type *
inferred← citeshttps://doi.org/10.1088/1751-8121/ae6c73openalex-snapshot
On consistency around a 3 × 3 × 3 cube and Q3 analogue of lattice Boussinesq equation
inferred← citeshttps://doi.org/10.1090/bproc/96openalex-snapshot
Reduction of quad-equations consistent around a cuboctahedron I: Additive case
inferred← citeshttps://doi.org/10.1093/imrn/rnaa289openalex-snapshot
Cross-ratio Dynamics on Ideal Polygons
inferred← citeshttps://doi.org/10.1093/imrn/rnac207openalex-snapshot
Classification of Integrable Boundary Equations for Integrable Systems on Quad-Graphs
inferred← citeshttps://doi.org/10.1093/imrn/rnq010openalex-snapshot
Elliptic N-soliton Solutions of ABS Lattice Equations
inferred← citeshttps://doi.org/10.1093/imrn/rnr080openalex-snapshot
Discrete KdV and Discrete Modified KdV Equations Arising from Motions of Planar Discrete Curves
inferred← citeshttps://doi.org/10.1093/imrn/rns024openalex-snapshot
Singular-Boundary Reductions of Type-Q ABS Equations
inferred← citeshttps://doi.org/10.1093/imrn/rnt066openalex-snapshot
Multi-Quadratic Quad Equations: Integrable Cases from a Factorized-Discriminant Hypothesis
inferred← citeshttps://doi.org/10.1093/integr/xyy020openalex-snapshot
Continuum limits of pluri-Lagrangian systems
inferred← citeshttps://doi.org/10.1098/rspa.1997.0015openalex-snapshot
Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system
inferred← citeshttps://doi.org/10.1098/rspa.2011.0124openalex-snapshot
On the Lagrangian formulation of multidimensionally consistent systems
inferred← citeshttps://doi.org/10.1098/rspa.2012.0747openalex-snapshot
Integrability of reductions of the discrete Korteweg–de Vries and potential Korteweg–de Vries equations
inferred← citeshttps://doi.org/10.1098/rspa.2014.0612openalex-snapshot
On the lattice-geometry and birational group of the six-point multi-ratio equation
inferred← citeshttps://doi.org/10.1098/rspa.2016.0696openalex-snapshot
Lax pairs of discrete Painlevé equations: ( A 2 + A 1 ) (1) case
inferred← citeshttps://doi.org/10.1098/rspa.2017.0312openalex-snapshot
Geometric description of a discrete power function associated with the sixth Painlevé equation
inferred← citeshttps://doi.org/10.1098/rspa.2020.0036openalex-snapshot
Direct linearization approach to discrete integrable systems associated with ℤ 𝒩 graded Lax pairs
inferred← citeshttps://doi.org/10.1103/physreve.90.033205openalex-snapshot
Transparent lattices and their solitary waves
inferred← citeshttps://doi.org/10.1111/1467-9590.00167openalex-snapshot
On Discrete Painlevé Equations Associated with the Lattice KdV Systems and the Painlevé VI Equation
inferred← citeshttps://doi.org/10.1111/j.1467-9590.2007.00385.xopenalex-snapshot
Symmetries of Integrable Difference Equations on the Quad‐Graph
inferred← citeshttps://doi.org/10.1111/sapm.12168openalex-snapshot
Symmetries, Conservation Laws, and Noether's Theorem for Differential‐Difference Equations
inferred← citeshttps://doi.org/10.1111/sapm.12252openalex-snapshot
Generalized solitary waves in a finite‐difference Korteweg‐de Vries equation
inferred← citeshttps://doi.org/10.1111/sapm.12346openalex-snapshot
Integrable symplectic maps associated with discrete Korteweg‐de Vries‐type equations
inferred← citeshttps://doi.org/10.1111/sapm.12421openalex-snapshot
On the three‐dimensional consistency of Hirota's discrete Korteweg‐de Vries equation
inferred← citeshttps://doi.org/10.1134/s0037446625060084openalex-snapshot
Discrete Parabolic Functions and Taylor Series
inferred← citeshttps://doi.org/10.1134/s0040577918120085openalex-snapshot
Higher Hirota Difference Equations and Their Reductions
inferred← citeshttps://doi.org/10.1134/s0040577919070031openalex-snapshot
An Unusual Series of Autonomous Discrete Integrable Equations on a Square Lattice
inferred← citeshttps://doi.org/10.1134/s0040577920020038openalex-snapshot
Discrete Crum’s Theorems and Lattice KdV-Type Equations
inferred← citeshttps://doi.org/10.1134/s0040577923110065openalex-snapshot
Discretization of the modified Korteweg–de Vries–sine Gordon equation
inferred← citeshttps://doi.org/10.1134/s0040577924060059openalex-snapshot
Revisiting solutions of the Adler–Bobenko–Suris lattice equations and lattice Boussinesq-type equations
inferred← citeshttps://doi.org/10.1134/s1055134425020026openalex-snapshot
Mittag-Leffler Restoration Formula for Discrete Analytic Functions
inferred← citeshttps://doi.org/10.1142/9789812770752_0056openalex-snapshot
ON THE SYMMETRIES OF INTEGRABLE PARTIAL DIFFERENCE EQUATIONS
inferred← citeshttps://doi.org/10.1142/s0129055x99000258openalex-snapshot
INTEGRABLE DISCRETIZATIONS FOR LATTICE SYSTEM: LOCAL EQUATIONS OF MOTION AND THEIR HAMILTONIAN PROPERTIES
inferred← citeshttps://doi.org/10.1142/s0217984916501669openalex-snapshot
A new explicit solution to the lattice sine-Gordon equation
inferred← citeshttps://doi.org/10.1142/s0217984921500974openalex-snapshot
Integrable discretisations of Volterra system with multiple branches of dispersion
inferred← citeshttps://doi.org/10.1142/s0219887808003375openalex-snapshot
ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY
inferred← citeshttps://doi.org/10.1142/s0219887822500980openalex-snapshot
Symmetry group analysis and conservation laws of the potential modified KdV equation using the scaling method
inferred← citeshttps://doi.org/10.1143/jpsj.68.386openalex-snapshot
LatticeWCurrents with Discrete Time
inferred← citeshttps://doi.org/10.1143/jpsj.77.054004openalex-snapshot
Bilinearization and Casorati Determinant Solution to the Non-Autonomous Discrete KdV Equation
inferred← citeshttps://doi.org/10.1155/2015/139238openalex-snapshot
Simulation, Modeling, and Analysis of Soliton Waves Interaction and Propagation in CNN Transmission Lines for Innovative Data Communication and Processing
inferred← citeshttps://doi.org/10.1186/s13662-019-1977-8openalex-snapshot
On one-soliton solutions of the Q2 equation in the ABS list
inferred← citeshttps://doi.org/10.1201/9780429263743-3openalex-snapshot
Lax pairs for edge-constrained Boussinesq systems of partial difference equations
inferred← citeshttps://doi.org/10.1215/00127094-3620012openalex-snapshot
The asymptotic behavior of the discrete holomorphic map Za via the Riemann–Hilbert method
inferred← citeshttps://doi.org/10.1215/s0012-7094-03-11635-xopenalex-snapshot
Hexagonal circle patterns and integrable systems: Patterns with constant angles
inferred← citeshttps://doi.org/10.13108/2016-8-3-109openalex-snapshot
Symmetries and conservation laws for a two-component discrete potentiated Korteweg - de Vries equation
inferred← citeshttps://doi.org/10.13108/2021-13-2-152openalex-snapshot
Yamilov's theorem for differential and difference equations
inferred← citeshttps://doi.org/10.14279/depositonce-3302openalex-snapshot
Classification and Lagrangian Structure of 3D Consistent Quad-Equations
inferred← citeshttps://doi.org/10.14279/depositonce-7434openalex-snapshot
Periodic discrete conformal maps
inferred← citeshttps://doi.org/10.1515/crll.2001.038openalex-snapshot
Periodic discrete conformal maps
showing the first 200 of 269 · page through all 269
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.