New exact explicit peakon and smooth periodic wave solutions of the \(K(3,2)\) equation

DOI10.1016/j.amc.2009.10.007zbMath1203.35223OpenAlexW2038775641MaRDI QIDQ609328

Bin He, Qing Meng

Publication date: 30 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.10.007

zbMATH Keywords

peakon\(K(3, 2)\) equationexact explicit solutionindependent variable transformationsmooth periodic wave

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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) Periodic solutions to PDEs (35B10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

Related Items (3)

Dissipative perturbations for the \(K(n, n)\) Rosenau-Hyman equation ⋮ Exact traveling wave solutions of explicit type, implicit type, and parametric type for \(K(m, n)\) equation ⋮ Periodic and solitary-wave solutions for a variant of the \(K(3,2)\) equation

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