Homoclinic orbits of the Davey-Stewartson equations

DOI10.1007/BF02438234zbMath1144.76306OpenAlexW1551424226MaRDI QIDQ939750

Jun Zhang, Shou-feng Shen, Bo-ling Guo

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02438234

zbMATH Keywords

homoclinic orbit

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

The \(\frac{G'}{G}\) method and 1-soliton solution of the Davey-Stewartson equation ⋮ Quasi-periodic breathers and rogue waves to the focusing Davey-Stewartson equation ⋮ Homoclinic orbits for some \((2+1)\)-dimensional nonlinear Schrödinger-like equations

Cites Work

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• Bäcklund-Darboux transformations and Melnikov analysis for Davey-Stewartson II equations
• On the numerical solution of the sine-Gordon equation. I: Integrable discretizations and homoclinic manifolds
• On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation
• The Cauchy problem for Davey-Stewartson systems

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