Truncation analysis for the derivative Schrödinger equation

DOI10.1007/S101140100148zbMath1012.34039OpenAlexW1981270912MaRDI QIDQ1601226

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

Publication date: 6 August 2002

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140100148

zbMATH Keywords

existenceheteroclinic orbitsMelnikov's technique

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) KdV equations (Korteweg-de Vries equations) (35Q53) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• 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
• Normally hyperbolic invariant manifolds in dynamical systems
• Singular Perturbation Theory for Homoclinic Orbits in a Class of Near- Integrable Dissipative Systems

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