The homoclinic orbits in nonlinear Schrödinger equation

DOI10.1016/S1007-5704(98)90000-4zbMath0922.35164OpenAlexW2049158316MaRDI QIDQ1288575

Peng-cheng Xu, Bo-ling Guo, Qian-shun Chang

Publication date: 14 October 1999

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(98)90000-4

zbMATH Keywords

perturbed nonlinear Schrödinger equationexistence of homoclinic orbitsgeometric singular perturbation theoryMelnikov's analysis

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Global bifurcations and chaos in externally excited cyclic systems

Cites Work

• Unnamed Item
• Geometric singular perturbation theory for ordinary differential equations
• Orbits homoclinic to resonances, with an applications to chaos in a model of the forced and damped sine-Gordon equation
• Global dynamics, phase space transport, orbits homoclinic to resonances, and applications
• Homoclinic orbits and chaos in discretized perturbed NLS systems. I: Homoclinic orbits

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