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Lyapunov stability of ground states of nonlinear dispersive evolution equations

https://doi.org/10.1002/cpa.3160390103
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/9781119200925.app1openalex-snapshot
Partial Differential Equations
inferredcites →https://doi.org/10.1007/978-3-642-31031-7_6openalex-snapshot
On an a priori estimate in the theory of hydrodynamical stability
inferredcites →https://doi.org/10.1007/bf00250555openalex-snapshot
Nonlinear scalar field equations, I existence of a ground state
inferredcites →https://doi.org/10.1007/bf00250684openalex-snapshot
Uniqueness of the ground state solution for Δu−u+u 3=0 and a variational characterization of other solutions
inferredcites →https://doi.org/10.1007/bf00282435openalex-snapshot
Dispersion of low-energy waves for two conservative equations
inferredcites →https://doi.org/10.1007/bf01208265openalex-snapshot
Nonlinear Schr�dinger equations and sharp interpolation estimates
inferredcites →https://doi.org/10.1007/bf01208719openalex-snapshot
Stability theory for solitary-wave solutions of scalar field equations
inferredcites →https://doi.org/10.1007/bf01208779openalex-snapshot
Stable standing waves of nonlinear Klein-Gordon equations
inferredcites →https://doi.org/10.1007/bf01212446openalex-snapshot
Instability of nonlinear bound states
inferredcites →https://doi.org/10.1007/bf01403504openalex-snapshot
Orbital stability of standing waves for some nonlinear Schr�dinger equations
inferredcites →https://doi.org/10.1007/bf01626517openalex-snapshot
Existence of solitary waves in higher dimensions
inferredcites →https://doi.org/10.1007/bfb0082920openalex-snapshot
Partial Differential Equations
inferredcites →https://doi.org/10.1016/0022-1236(79)90076-4openalex-snapshot
On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
inferredcites →https://doi.org/10.1016/0362-546x(83)90022-6openalex-snapshot
Stable solutions of the logarithmic Schrödinger equation
inferredcites →https://doi.org/10.1016/0375-9601(83)90534-0openalex-snapshot
Nonlinear stability conditions and a priori estimates for barotropic hydrodynamics
inferredcites →https://doi.org/10.1017/s0022377800002026openalex-snapshot
Stability theorem for KdV-type equations
inferredcites →https://doi.org/10.1073/pnas.78.11.6592openalex-snapshot
Uniqueness of solutions of semilinear Poisson equations
inferredcites →https://doi.org/10.1088/0031-9112/26/11/028openalex-snapshot
Linear and Nonlinear Waves
inferredcites →https://doi.org/10.1090/pspum/023/0333490openalex-snapshot
Generalizations of the Korteweg-de Vries equation
inferredcites →https://doi.org/10.1098/rspa.1972.0074openalex-snapshot
The stability of solitary waves
inferredcites →https://doi.org/10.1098/rspa.1975.0106openalex-snapshot
On the stability theory of solitary waves
inferredcites →https://doi.org/10.1103/physrevlett.52.279openalex-snapshot
Stable Three-Dimensional Envelope Solitons
inferredcites →https://doi.org/10.1137/0516034openalex-snapshot
Modulational Stability of Ground States of Nonlinear Schrödinger Equations

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4978808openalex-extracted
On The Asymptotic Stability on the Line Of Ground States of The Pure Power Nls With $ 0\Le 2-P \Ll 1 $
inferred← citeshttps://doi.org/10.1002/(sici)1098-2426(199911)15:6<672::aid-num5>3.0.co;2-jopenalex-snapshot
Numerical resolution of some nonlinear Schr�dinger-like equations in plasmas
inferred← citeshttps://doi.org/10.1002/cpa.1018openalex-snapshot
Stabilization of solutions to nonlinear Schrödinger equations
inferred← citeshttps://doi.org/10.1002/cpa.20050openalex-snapshot
Spectra of positive and negative energies in the linearized NLS problem
inferred← citeshttps://doi.org/10.1002/cpa.20292openalex-snapshot
Two‐soliton solutions to the three‐dimensional gravitational Hartree equation
inferred← citeshttps://doi.org/10.1002/cpa.21387openalex-snapshot
A critical center‐stable manifold for Schrödinger's equation in three dimensions
inferred← citeshttps://doi.org/10.1002/cpa.3012openalex-snapshot
Asymptotic dynamics of nonlinear Schrödinger equations: Resonance‐dominated and dispersion‐dominated solutions
inferred← citeshttps://doi.org/10.1002/cpa.3160410602openalex-snapshot
Linearized instability for nonlinear schrödinger and klein‐gordon equations
inferred← citeshttps://doi.org/10.1002/cpa.3160460405openalex-snapshot
Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
inferred← citeshttps://doi.org/10.1002/cpa.3160460604openalex-snapshot
On the stability of KdV multi‐solitons
inferred← citeshttps://doi.org/10.1002/mde.3854openalex-snapshot
Evolutionary game analysis on incremental component suppliers and auto manufacturers' intelligent connected vehicle production decisions
inferred← citeshttps://doi.org/10.1002/mma.10178openalex-snapshot
An analysis of stability on the L 2 ‐critical inhomogeneous nonlinear Schrödinger equation
inferred← citeshttps://doi.org/10.1002/mma.9329openalex-snapshot
Strong instability of ground state standing waves for the Hartree equation with a partial/complete harmonic potential
inferred← citeshttps://doi.org/10.1006/jdeq.1998.3525openalex-snapshot
Existence and Stability of Solitary Wave Solutions of the Benjamin Equation
inferred← citeshttps://doi.org/10.1006/jdeq.2000.3923openalex-snapshot
Orbital Stability of Solitary Wave Solutions for an Interaction Equation of Short and Long Dispersive Waves
inferred← citeshttps://doi.org/10.1006/jdeq.2000.4010openalex-snapshot
Structure of Positive Radial Solutions to Scalar Field Equations with Harmonic Potential
inferred← citeshttps://doi.org/10.1007/3-540-17894-5_400openalex-snapshot
Explicit multidimensional solitary wave solutions to nonlinear evolution equations
inferred← citeshttps://doi.org/10.1007/978-1-4614-6995-7_5openalex-snapshot
Orbital Stability of Waves in Hamiltonian Systems
inferred← citeshttps://doi.org/10.1007/978-1-4939-6969-2_3openalex-snapshot
Long Time Dynamics and Coherent States in Nonlinear Wave Equations
inferred← citeshttps://doi.org/10.1007/978-3-031-11926-2_8openalex-snapshot
Self-Organization, Organization Dynamics, and Agent-Based Model
inferred← citeshttps://doi.org/10.1007/978-3-0348-8087-9_13openalex-snapshot
Well-posedness Results for the Modified Zakharov-Kuznetsov Equation
inferred← citeshttps://doi.org/10.1007/978-3-319-06914-2_3openalex-snapshot
The Nonlinear Schrödinger Equation
inferred← citeshttps://doi.org/10.1007/978-3-319-16619-3_1openalex-snapshot
Lack of Ground State for NLSE on Bridge-Type Graphs
inferred← citeshttps://doi.org/10.1007/978-3-319-19015-0_3openalex-snapshot
Orbital Stability: Analysis Meets Geometry
inferred← citeshttps://doi.org/10.1007/978-3-319-19902-3_2openalex-snapshot
Hylomorphic solitons for the generalized KdV equation
inferred← citeshttps://doi.org/10.1007/978-3-319-19935-1_2openalex-snapshot
Localized States and Dynamics in the Nonlinear Schrödinger/Gross-Pitaevskii Equation
inferred← citeshttps://doi.org/10.1007/978-3-319-66766-9_13openalex-snapshot
On the Numerical Approximation to Generalized Ostrovsky Equations: II
inferred← citeshttps://doi.org/10.1007/978-94-009-0591-7_19openalex-snapshot
Nonlinear Dispersive Equations without Inverse Scattering
inferred← citeshttps://doi.org/10.1007/978-94-009-1736-1_7openalex-snapshot
Nonlinear Theory of Soliton Instabilities
inferred← citeshttps://doi.org/10.1007/bf00417931openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00971094openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01053535openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01218475openalex-snapshot
Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
inferred← citeshttps://doi.org/10.1007/bf01218621openalex-snapshot
Stability of semiclassical bound states of nonlinear Schr�dinger equations with potentials
inferred← citeshttps://doi.org/10.1007/bf02096557openalex-snapshot
Multichannel nonlinear scattering for nonintegrable equations
inferred← citeshttps://doi.org/10.1007/bf02101705openalex-snapshot
Asymptotic stability of solitary waves
inferred← citeshttps://doi.org/10.1007/bf02218533openalex-snapshot
Stability of standing waves for the generalized Davey-Stewartson system
inferred← citeshttps://doi.org/10.1007/bf02430641openalex-snapshot
On the stability of solitary-wave solutions of model equations for long waves
inferred← citeshttps://doi.org/10.1007/bf02789446openalex-snapshot
Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three: II
inferred← citeshttps://doi.org/10.1007/bf03322576openalex-snapshot
Varias cuestiones sobre la ecuación de Schrödinger no lineal con coeficientes dependientes del espacio
inferred← citeshttps://doi.org/10.1007/bfb0025766openalex-snapshot
Principles of solitary wave stability
inferred← citeshttps://doi.org/10.1007/bfb0035679openalex-snapshot
Multichannel nonlinear scattering theory for nonintegrable equations
inferred← citeshttps://doi.org/10.1007/bfb0035681openalex-snapshot
Nonlinear Schrödinger equations with magnetic field effect: Existence and stability of solitary waves
inferred← citeshttps://doi.org/10.1007/pl00001048openalex-snapshot
On the Formation of Singularities in Solutions of the Critical Nonlinear Schrödinger Equation
inferred← citeshttps://doi.org/10.1007/pl00001473openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/pl00001673openalex-snapshot
Instability of solitons for the critical generalized Korteweg—de Vries equation
inferred← citeshttps://doi.org/10.1007/s00009-021-01969-1openalex-snapshot
Orbital Stability of Nonlinear Schrödinger–Kirchhoff Equations
inferred← citeshttps://doi.org/10.1007/s00023-005-0236-6openalex-snapshot
Stability of Standing Waves for Nonlinear Schrödinger Equations with Inhomogeneous Nonlinearities
inferred← citeshttps://doi.org/10.1007/s00023-006-0263-yopenalex-snapshot
Long Time Motion of NLS Solitary Waves in a Confining Potential
inferred← citeshttps://doi.org/10.1007/s00023-020-00897-2openalex-snapshot
On Traveling Waves of the Nonlinear Schrödinger Equation Escaping a Potential Well
inferred← citeshttps://doi.org/10.1007/s00023-024-01458-7openalex-snapshot
A Simple Testbed for Stability Analysis of Quantum Dissipative Systems
inferred← citeshttps://doi.org/10.1007/s00028-020-00596-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00030-011-0140-3openalex-snapshot
Well-posedness and stability results for the Gardner equation
inferred← citeshttps://doi.org/10.1007/s00030-025-01137-4openalex-snapshot
Uniqueness and nondegeneracy of ground states for 2d-nonlinear scalar field equations with point interaction
inferred← citeshttps://doi.org/10.1007/s00032-008-0089-9openalex-snapshot
Lectures on the Orbital Stability of Standing Waves and Application to the Nonlinear Schrödinger Equation
inferred← citeshttps://doi.org/10.1007/s00032-014-0227-5openalex-snapshot
Variational Approach to the Orbital Stability of Standing Waves of the Gross-Pitaevskii Equation
inferred← citeshttps://doi.org/10.1007/s00033-005-4060-0openalex-snapshot
Exponential decay of solutions to nonlinear elliptic equations with potentials
inferred← citeshttps://doi.org/10.1007/s00033-014-0467-9openalex-snapshot
Orbital instability of standing waves for the quadratic–cubic Klein-Gordon–Schrödinger system
inferred← citeshttps://doi.org/10.1007/s00033-016-0738-8openalex-snapshot
Long time stability of small-amplitude Breathers in a mixed FPU-KG model
inferred← citeshttps://doi.org/10.1007/s00039-003-0424-9openalex-snapshot
Sharp upper bound on the blow-up rate for the critical nonlinear Schr�dinger equation
inferred← citeshttps://doi.org/10.1007/s00039-006-0587-2openalex-snapshot
On soliton dynamics in nonlinear schrödinger equations
inferred← citeshttps://doi.org/10.1007/s00205-004-0310-0openalex-snapshot
Existence and Conditional Energetic Stability of Capillary-Gravity Solitary Water Waves by Minimisation
inferred← citeshttps://doi.org/10.1007/s00205-012-0510-yopenalex-snapshot
On the Dynamics of Solitons in the Nonlinear Schrödinger Equation
inferred← citeshttps://doi.org/10.1007/s00205-016-1018-7openalex-snapshot
Construction of Multi-Solitons for the Energy-Critical Wave Equation in Dimension 5
inferred← citeshttps://doi.org/10.1007/s00205-018-1278-5openalex-snapshot
Orbital Stability via the Energy–Momentum Method: The Case of Higher Dimensional Symmetry Groups
inferred← citeshttps://doi.org/10.1007/s00205-021-01658-zopenalex-snapshot
A Rigidity Property for the Novikov Equation and the Asymptotic Stability of Peakons
inferred← citeshttps://doi.org/10.1007/s00205-022-01782-4openalex-snapshot
Stability of Lamb Dipoles
inferred← citeshttps://doi.org/10.1007/s002050100138openalex-snapshot
Asymptotic Stability of Solitons¶for Subcritical Generalized KdV Equations
inferred← citeshttps://doi.org/10.1007/s00208-007-0194-zopenalex-snapshot
Asymptotic stability of solitons of the gKdV equations with general nonlinearity
inferred← citeshttps://doi.org/10.1007/s00208-011-0706-8openalex-snapshot
On the solitary wave dynamics, under slowly varying medium, for nonlinear Schrödinger equations
inferred← citeshttps://doi.org/10.1007/s00208-022-02382-zopenalex-snapshot
Action versus energy ground states in nonlinear Schrödinger equations
inferred← citeshttps://doi.org/10.1007/s00208-026-03316-9openalex-snapshot
Orbital stability of dark solitons for the modified Korteweg-de Vries hierarchy with nonzero boundary conditions
inferred← citeshttps://doi.org/10.1007/s00209-025-03732-8openalex-snapshot
Orbital stability of a soliton solution for the derivative nonlinear Schrödinger equation in the $$L^{2}$$ space
inferred← citeshttps://doi.org/10.1007/s00220-002-0723-2openalex-snapshot
Stability and Asymptotic Stability for Subcritical gKdV Equations
inferred← citeshttps://doi.org/10.1007/s00220-004-1128-1openalex-snapshot
Solitary Wave Dynamics in an External Potential
inferred← citeshttps://doi.org/10.1007/s00220-007-0233-3openalex-snapshot
On the Asymptotic Stability of Bound States in 2D Cubic Schrödinger Equation
inferred← citeshttps://doi.org/10.1007/s00220-008-0427-3openalex-snapshot
A Centre-Stable Manifold for the Focussing Cubic NLS in $${\mathbb{R}}^{1+3}$$
inferred← citeshttps://doi.org/10.1007/s00220-008-0605-3openalex-snapshot
On Asymptotic Stability in Energy Space of Ground States for Nonlinear Schrödinger Equations
inferred← citeshttps://doi.org/10.1007/s00220-008-0685-0openalex-snapshot
Stability of Two Soliton Collision for Nonintegrable gKdV Equations
inferred← citeshttps://doi.org/10.1007/s00220-011-1252-7openalex-snapshot
Effective Dynamics of Double Solitons for Perturbed mKdV
inferred← citeshttps://doi.org/10.1007/s00220-011-1265-2openalex-snapshot
The Hamiltonian Structure of the Nonlinear Schrödinger Equation and the Asymptotic Stability of its Ground States
inferred← citeshttps://doi.org/10.1007/s00220-011-1354-2openalex-snapshot
Super-Exponential Decay of Diffraction Managed Solitons
inferred← citeshttps://doi.org/10.1007/s00220-011-1361-3openalex-snapshot
Symmetry-Breaking Bifurcation in the Nonlinear Schrödinger Equation with Symmetric Potentials
inferred← citeshttps://doi.org/10.1007/s00220-012-1495-yopenalex-snapshot
Stability and Instability of the KDV Solitary Wave Under the KP-I Flow
inferred← citeshttps://doi.org/10.1007/s00220-012-1597-6openalex-snapshot
Stability and Symmetry-Breaking Bifurcation for the Ground States of a NLS with a δ′ Interaction
inferred← citeshttps://doi.org/10.1007/s00220-013-1792-0openalex-snapshot
Nonlinear Stability of MKdV Breathers
inferred← citeshttps://doi.org/10.1007/s00220-015-2570-yopenalex-snapshot
Freezing of Energy of a Soliton in an External Potential
inferred← citeshttps://doi.org/10.1007/s00220-016-2589-8openalex-snapshot
Stable Self-Similar Blow-Up Dynamics for Slightly $${L^2}$$ L 2 -Supercritical Generalized KDV Equations
inferred← citeshttps://doi.org/10.1007/s00220-017-2866-1openalex-snapshot
Existence and Stability of Standing Waves for Supercritical NLS with a Partial Confinement
inferred← citeshttps://doi.org/10.1007/s00220-021-04280-yopenalex-snapshot
Orbital Stability of KdV Multisolitons in $$H^{-1}$$
inferred← citeshttps://doi.org/10.1007/s00220-023-04646-4openalex-snapshot
Results on the spectral stability of standing wave solutions of the Soler model in 1-D
inferred← citeshttps://doi.org/10.1007/s00220-023-04904-5openalex-snapshot
Asymptotic Stability and Classification of Multi-solitons for Klein–Gordon Equations
inferred← citeshttps://doi.org/10.1007/s00220-026-05645-xopenalex-snapshot
Long-Time Dynamics of Small Solutions to 1d Cubic Nonlinear Schrödinger Equations with A Trapping Potential
inferred← citeshttps://doi.org/10.1007/s002200000298openalex-snapshot
Center Manifold for Nonintegrable Nonlinear Schrödinger Equations on the Line
inferred← citeshttps://doi.org/10.1007/s002200100579openalex-snapshot
On the Point-Particle (Newtonian) Limit¶of the Non-Linear Hartree Equation
inferred← citeshttps://doi.org/10.1007/s00222-008-0115-0openalex-snapshot
Global well-posedness of the KP-I initial-value problem in the energy space
inferred← citeshttps://doi.org/10.1007/s00222-010-0283-6openalex-snapshot
Inelastic interaction of nearly equal solitons for the quartic gKdV equation
inferred← citeshttps://doi.org/10.1007/s00222-018-0822-0openalex-snapshot
Inelasticity of soliton collisions for the 5D energy critical wave equation
inferred← citeshttps://doi.org/10.1007/s00222-024-01270-4openalex-snapshot
Asymptotic stability of small standing solitary waves of the one-dimensional cubic-quintic Schrödinger equation
inferred← citeshttps://doi.org/10.1007/s00222-026-01419-3openalex-snapshot
The linearized cubic NLS has no embedded eigenvalue
inferred← citeshttps://doi.org/10.1007/s002220050303openalex-snapshot
Resonances, radiation damping and instabilitym in Hamiltonian nonlinear wave equations
inferred← citeshttps://doi.org/10.1007/s00229-009-0307-yopenalex-snapshot
Soliton dynamics for the nonlinear Schrödinger equation with magnetic field
inferred← citeshttps://doi.org/10.1007/s00332-002-0475-3openalex-snapshot
Spectrally Stable Encapsulated Vortices for Nonlinear Schrödinger Equations
inferred← citeshttps://doi.org/10.1007/s00332-007-9004-8openalex-snapshot
A Numerical Study of the Stability of Solitary Waves of the Bona–Smith Family of Boussinesq Systems
inferred← citeshttps://doi.org/10.1007/s00332-008-9027-9openalex-snapshot
Coupled-Mode Equations and Gap Solitons in a Two-Dimensional Nonlinear Elliptic Problem with a Separable Periodic Potential
inferred← citeshttps://doi.org/10.1007/s00332-009-9039-0openalex-snapshot
Dynamic Stability and Instability of Pinned Fundamental Vortices
inferred← citeshttps://doi.org/10.1007/s00332-010-9064-zopenalex-snapshot
A System of ODEs for a Perturbation of a Minimal Mass Soliton
inferred← citeshttps://doi.org/10.1007/s00332-011-9106-1openalex-snapshot
On Non-local Variational Problems with Lack of Compactness Related to Non-linear Optics
inferred← citeshttps://doi.org/10.1007/s00332-012-9161-2openalex-snapshot
Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation
inferred← citeshttps://doi.org/10.1007/s00332-016-9322-9openalex-snapshot
On Orbital Instability of Spectrally Stable Vortices of the NLS in the Plane
inferred← citeshttps://doi.org/10.1007/s00332-021-09713-5openalex-snapshot
Modulational Instability of Periodic Standing Waves in the Derivative NLS Equation
inferred← citeshttps://doi.org/10.1007/s00332-021-09722-4openalex-snapshot
Stability of Elliptic Solutions to the sinh-Gordon Equation
inferred← citeshttps://doi.org/10.1007/s00332-022-09845-2openalex-snapshot
Symmetry Breaking and the Generation of Spin Ordered Magnetic States in Density Functional Theory Due to Dirac Exchange for a Hydrogen Molecule
inferred← citeshttps://doi.org/10.1007/s00526-011-0424-9openalex-snapshot
Global dynamics above the ground state energy for the cubic NLS equation in 3D
inferred← citeshttps://doi.org/10.1007/s00526-017-1128-6openalex-snapshot
Stability of the traveling waves for the derivative Schrödinger equation in the energy space
inferred← citeshttps://doi.org/10.1007/s00526-019-1626-9openalex-snapshot
Concentrated solution for some non-local and non-variational singularly perturbed problems
inferred← citeshttps://doi.org/10.1007/s00526-023-02510-wopenalex-snapshot
Existence and orbital stability/instability of standing waves with prescribed mass for the $$L^{2}$$-supercritical NLS in bounded domains and exterior domains
inferred← citeshttps://doi.org/10.1007/s00526-023-02534-2openalex-snapshot
Multisolitons are the unique constrained minimizers of the KdV conserved quantities
inferred← citeshttps://doi.org/10.1007/s00526-024-02817-2openalex-snapshot
Dispersive estimates for 1D matrix Schrödinger operators with threshold resonance
inferred← citeshttps://doi.org/10.1007/s00526-025-02981-zopenalex-snapshot
Instability of the solitary waves for the generalized Benjamin-Bona-Mahony equation
inferred← citeshttps://doi.org/10.1007/s005260050075openalex-snapshot
Minimization problems for the exterior domain
inferred← citeshttps://doi.org/10.1007/s10098-019-01691-3openalex-snapshot
Impact of policy incentives on electric vehicles development: a system dynamics-based evolutionary game theoretical analysis
inferred← citeshttps://doi.org/10.1007/s10255-015-0525-xopenalex-snapshot
Orbital stability of solitary waves of compound KdV-type equation
inferred← citeshttps://doi.org/10.1007/s10255-019-0825-7openalex-snapshot
Asymptotic Stability of Monotone Decreasing Kink Profile Solitary Wave Solutions for Generalized KdV-Burgers Equation
inferred← citeshttps://doi.org/10.1007/s10255-025-0088-4openalex-snapshot
Orbital Stability of Solitary Waves to the mKdV-Schrödinger System with Cubic-quintic Nonlinear Term
inferred← citeshttps://doi.org/10.1007/s10473-023-0205-5openalex-snapshot
The Existence and Stability of Normalized Solutions for a Bi-Harmonic Nonlinear Schrödinger Equation with Mixed Dispersion
inferred← citeshttps://doi.org/10.1007/s10479-023-05766-9openalex-snapshot
Dynamic incentives to promote green production of the iron and steel industry in the post-pandemic period
inferred← citeshttps://doi.org/10.1007/s10884-007-9071-4openalex-snapshot
Orbital stability of periodic waves for the nonlinear Schrödinger equation
inferred← citeshttps://doi.org/10.1007/s10884-021-10000-wopenalex-snapshot
Periodic Waves in the Fractional Modified Korteweg–de Vries Equation
inferred← citeshttps://doi.org/10.1007/s10884-025-10460-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11005-022-01527-0openalex-snapshot
A generic framework of adiabatic approximation for nonlinear evolutions
inferred← citeshttps://doi.org/10.1007/s11232-009-0098-zopenalex-snapshot
Madelung fluid description of the generalized derivative nonlinear Schrödinger equation: Special solutions and their stability
inferred← citeshttps://doi.org/10.1007/s11401-008-0294-4openalex-snapshot
Instability of standing waves for Hamiltonian wave equations
inferred← citeshttps://doi.org/10.1007/s11425-012-4359-1openalex-snapshot
On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d⩾2
inferred← citeshttps://doi.org/10.1007/s11464-020-0857-6openalex-snapshot
Asymptotic stability of solitons to 1D nonlinear Schrödinger equations in subcritical case
inferred← citeshttps://doi.org/10.1007/s11587-019-00464-wopenalex-snapshot
Helmholtz-type solitary wave solutions in nonlinear elastodynamics
inferred← citeshttps://doi.org/10.1007/s11784-014-0184-1openalex-snapshot
Solitons in Schrödinger-Maxwell equations
inferred← citeshttps://doi.org/10.1007/s11784-023-01054-yopenalex-snapshot
Stability and instability of standing-wave solutions to one-dimensional quadratic-cubic Klein–Gordon equations
inferred← citeshttps://doi.org/10.1007/s12346-026-01599-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s12591-013-0174-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s13324-021-00554-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s13324-023-00862-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s40863-019-00121-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s40863-020-00195-zopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s42985-021-00095-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s42985-024-00309-8openalex-snapshot
Instability of stationary solutions for double power nonlinear Schrödinger equations in one dimension
inferred← citeshttps://doi.org/10.1007/s42985-025-00329-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s42985-025-00343-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s44198-023-00148-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-0396(87)90117-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-0396(88)90037-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-1236(86)90096-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-1236(87)90044-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-1236(90)90016-eopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-247x(89)90195-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0165-2125(94)00053-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0167-2789(87)90084-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0167-2789(88)90107-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0167-2789(89)90237-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0167-2789(93)90197-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0167-2789(94)90118-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0167-2789(95)00219-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0167-2789(96)00093-0openalex-snapshot
An asymptotic approach to solitary wave instability and critical collapse in long-wave KdV-type evolution equations
inferred← citeshttps://doi.org/10.1016/0362-546x(94)00106-ropenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0362-546x(94)00340-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0362-546x(95)00017-popenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0375-9601(92)90444-qopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0375-9601(96)00516-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0375-9601(96)00596-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0393-0440(87)90025-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/b978-012410590-4/50002-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aim.2005.05.017openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aim.2007.04.018openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aim.2020.107352openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aim.2022.108524openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aim.2023.109356openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aim.2026.110961openalex-snapshot
Orbital stability of breathers for coupled nonlinear Schrödinger equations
inferred← citeshttps://doi.org/10.1016/j.amc.2017.11.005openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.amc.2019.02.080openalex-snapshot
The evolutionary game analysis and simulation with system dynamics of manufacturer's emissions abatement behavior under cap-and-trade regulation
inferred← citeshttps://doi.org/10.1016/j.amc.2021.126249openalex-snapshot
Orbital stability of dn periodic solutions for the generalized symmetric regularized-long-wave equation
inferred← citeshttps://doi.org/10.1016/j.aml.2010.01.017openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aml.2024.109326openalex-snapshot
Orbital stability of solitary wave solutions of a Hamiltonian PDE arising in magma dynamics
inferred← citeshttps://doi.org/10.1016/j.anihpc.2005.09.003openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.anihpc.2006.01.001openalex-snapshot
Multi solitary waves for nonlinear Schrödinger equations
inferred← citeshttps://doi.org/10.1016/j.anihpc.2006.03.005openalex-snapshot
Strong instability of solitary waves for nonlinear Klein–Gordon equations and generalized Boussinesq equations
inferred← citeshttps://doi.org/10.1016/j.anihpc.2007.03.004openalex-snapshot
Nonlinear Schrödinger equation with a point defect
inferred← citeshttps://doi.org/10.1016/j.anihpc.2008.12.001openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.anihpc.2009.01.011openalex-snapshot
Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
inferred← citeshttps://doi.org/10.1016/j.anihpc.2011.02.002openalex-snapshot
Two soliton collision for nonlinear Schrödinger equations in dimension 1
inferred← citeshttps://doi.org/10.1016/j.anihpc.2011.06.005openalex-snapshot
Local well-posedness and blow-up in the energy space for a class of \( L^{2} \) critical dispersion generalized Benjamin–Ono equations
inferred← citeshttps://doi.org/10.1016/j.anihpc.2013.09.003openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.anihpc.2014.05.004openalex-snapshot
The Korteweg–de Vries equation at \( H^{- 1} \) regularity
inferred← citeshttps://doi.org/10.1016/j.anihpc.2017.04.003openalex-snapshot
Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg–de Vries equation
inferred← citeshttps://doi.org/10.1016/j.anihpc.2017.12.002openalex-snapshot
The nonlinear Schrödinger equation with a potential
inferred← citeshttps://doi.org/10.1016/j.anihpc.2020.09.002openalex-snapshot
Existence of multi-solitons for the focusing Logarithmic Non-Linear Schrödinger Equation
inferred← citeshttps://doi.org/10.1016/j.anihpc.2020.11.010openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aop.2017.11.009openalex-snapshot
Bose–Einstein condensation under the cubic–quintic Gross–Pitaevskii equation in radial domains
inferred← citeshttps://doi.org/10.1016/j.bulsci.2017.01.001openalex-snapshot
Sharp asymptotics for the minimal mass blow up solution of the critical gKdV equation
inferred← citeshttps://doi.org/10.1016/j.chaos.2011.09.009openalex-snapshot
Exotic modulated signals in a nonlinear electrical transmission line: Modulated peak solitary wave and gray compacton
inferred← citeshttps://doi.org/10.1016/j.chaos.2026.118332openalex-snapshot
Integrability constraints and topological vortex solitons in (2+1)-dimensional coupled nonlinear Helmholtz systems
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