Homoclinic orbits in the near-integrable double discrete sine-Gordon equation

DOI10.1088/0305-4470/34/17/308zbMath1006.39017OpenAlexW2093161848MaRDI QIDQ4552320

Vassilios M. Rothos

Publication date: 1 September 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://figshare.com/articles/preprint/Homoclinic_orbits_in_the_near-integrable_double_discrete_sine-Gordon_equation/9384392

zbMATH Keywords

difference equationssine-Gordon equationhomoclinic orbitsMel'nikov analysisBäcklund transformationLax pairdiscrete integrable systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Discrete version of topics in analysis (39A12) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

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