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Darboux transformations for non-Abelian and nonlocal equations of the Toda chain type
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf00397217openalex-snapshot
Differential-difference evolution equations. II (Darboux transformation for the Toda lattice)
inferredcites →https://doi.org/10.1007/bf00401930openalex-snapshot
Representation of zero curvature for the system of nonlinear partial differential equations $$x_{\alpha ,z\bar z} = \exp (kx)_\alpha $$ and its integrability
inferredcites →https://doi.org/10.1007/bf00401932openalex-snapshot
Some comments on the rational solutions of the Zakharov-Schabat equations
inferredcites →https://doi.org/10.1007/bf00405295openalex-snapshot
Darboux transformation and explicit solutions of the Kadomtcev-Petviaschvily equation, depending on functional parameters
inferredcites →https://doi.org/10.1007/bf00405296openalex-snapshot
Darboux transformation and the explicit solutions of differential-difference and difference-difference evolution equations I
inferredcites →https://doi.org/10.1007/bfb0081167openalex-snapshot
Bäcklund transformation of potentials of the Korteweg-devries equation and the interaction of solitons with cnoidal waves
inferredcites →https://doi.org/10.1016/0041-5553(64)90024-2openalex-snapshot
Ordinary differential equations
inferredcites →https://doi.org/10.1063/1.1666364openalex-snapshot
A discrete version of the inverse scattering problem
inferredcites →https://doi.org/10.1063/1.1666479openalex-snapshot
The decay of the continuous spectrum for solutions of the Korteweg-deVries equation
inferredcites →https://doi.org/10.1137/1.9780898719222openalex-snapshot
Ordinary Differential Equations
inferredcites →https://doi.org/10.1143/jpsj.35.289openalex-snapshot
Exact N -Soliton Solution of Nonlinear Lumped Self-Dual Network Equations
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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COVARIANT FORMS OF LAX ONE-FIELD OPERATORS: FROM ABELIAN TO NONCOMMUTATIVE
inferred← citeshttps://doi.org/10.1007/s11005-015-0758-xopenalex-snapshot
Darboux Transformation of the Second-Type Derivative Nonlinear Schrödinger Equation
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Non-Abelian Evolution Systems with Conservation Laws
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Modulational instability, periodic waves and black and white vector solitons in birefringent Kerr media
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Darboux Transformation
inferred← citeshttps://doi.org/10.1016/j.cnsns.2015.06.025openalex-snapshot
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Darboux transformations and related non-Abelian integrable differential-difference systems of the derivative nonlinear Schrödinger type
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Intertwining technique for the one-dimensional stationary Dirac equation
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Bäcklund and Darboux Transformations
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General Introduction and Outline
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Pseudospherical Surfaces and the Classical Bäcklund Transformation. The Bianchi System
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.004openalex-snapshot
The Motion of Curves and Surfaces. Soliton Connections
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Tzitzeica Surfaces. Conjugate Nets and the Toda Lattice Scheme
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.006openalex-snapshot
Hasimoto Surfaces and the Nonlinear Schrödinger Equation. Geometry and Associated Soliton Equations
inferred← citeshttps://doi.org/10.1017/cbo9780511606359.007openalex-snapshot
Isothermic Surfaces. The Calapso and Zoomeron Equations
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General Aspects of Soliton Surfaces. Role of Gauge and Reciprocal Transformations
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Bäcklund Transformation and Darboux Matrix Connections
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Thesu(2)–so(3) Isomorphism
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Painlevé type reductions for the non-Abelian Volterra lattices *
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Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy
inferred← citeshttps://doi.org/10.1098/rspa.1997.0133openalex-snapshot
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inferred← citeshttps://doi.org/10.1098/rspa.2007.0321openalex-snapshot
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inferred← citeshttps://doi.org/10.1098/rspa.2024.0850openalex-snapshot
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Extremely high degree of N-soliton pulse compression in an optical fiber
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inferred← citeshttps://doi.org/10.48550/arxiv.1308.6623openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1501.01956openalex-snapshot
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