Bäcklund-Darboux transformations and Melnikov analysis for Davey-Stewartson II equations

DOI10.1007/s003329910005zbMath0963.35170OpenAlexW2069633120MaRDI QIDQ1583863

Y. Charles Li

Publication date: 6 February 2001

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003329910005

zbMATH Keywords

heteroclinic orbitsMelnikov functionsMelnikov vectorsexistence of chaos in soliton systems under perturbations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Singularly Perturbed Vector and Scalar Nonlinear Schrödinger Equations with Persistent Homoclinic Orbits ⋮ Homoclinic tubes and chaos in perturbed sine-Gordon equation ⋮ A BRIEF SURVEY ON CONSTRUCTING HOMOCLINIC STRUCTURES OF SOLITON EQUATIONS ⋮ Existence of chaos in evolution equations ⋮ Melnikov Analysis for a Singularly Perturbed DSII Equation ⋮ Lie symmetry analysis and conservation law of variable-coefficient Davey-Stewartson equation ⋮ Homoclinic orbits of the Davey-Stewartson equations ⋮ Homoclinic orbits for the coupled nonlinear Schrödinger system and long-short wave equation ⋮ Bäcklund Transformation, Lax Pair and Solitons of the (2+1)-dimensional Davey-Stewartson-like Equations with Variable Coefficients for the Electrostatic Wave Packets

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