A direct method for solving the generalized sine-Gordon equation II

DOI10.1088/1751-8113/43/37/375201zbMath1198.35208arXiv1007.1525OpenAlexW2953098638MaRDI QIDQ4933048

Yoshimasa Matsuno

Publication date: 7 October 2010

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

Full work available at URL: https://arxiv.org/abs/1007.1525

zbMATH Keywords

hodograph transformationbreather solutionskink solutionsgeneralized sine-Gordon equation

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) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (3)

Parametric solutions of the generalized short pulse equations ⋮ Integrable generalizations of the sine-Gordon, short pulse, and reduced Maxwell–Bloch equations ⋮ A Generalized Sine-Gordon Equation: Reductions and Integrable Discretizations

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