Homoclinic and heteroclinic orbits for near-integrable coupled nonlinear Schrödinger equations

DOI10.1016/j.na.2010.03.022zbMath1211.34054OpenAlexW2023496119MaRDI QIDQ984052

Guifeng Deng, De-Ming Zhu

Publication date: 13 July 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.03.022

zbMATH Keywords

existencetransversalityheteroclinic orbitshomoclinic orbitscoupled nonlinear Schrödinger equationsMelnikov theory

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

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Analysis on global and chaotic dynamics of nonlinear wave equations for truss core sandwich plate ⋮ On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation

Cites Work

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• Persistent homoclinic orbits for nonlinear Schrödinger equation under singular perturbations
• Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials
• Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
• Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations
• Homoclinic orbits for perturbed coupled nonlinear Schrödinger equations
• Coupled nonlinear Schrödinger systems with potentials
• Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• Newton's method and periodic solutions of nonlinear wave equations

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