1-soliton solution of the generalized Camassa-Holm Kadomtsev-Petviashvili equation

DOI10.1016/j.cnsns.2008.09.023zbMath1221.35309OpenAlexW1991882794MaRDI QIDQ716766

Anjan Biswas

Publication date: 2 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.09.023

zbMATH Keywords

inverse scattering transformsolitonsintegrals of motion

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)

Related Items (23)

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Cites Work

• Unnamed Item
• 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
• The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms
• The Hirota's bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petviashvili equation
• The compact and noncompact structures for two types of generalized Camassa-Holm-KP equations
• Some physical structures for the \((2+1)\)-dimensional Boussinesq water equation with positive and negative exponents
• Nonlinear variants of KdV and KP equations with compactons, solitons and periodic solutions
• Exact solutions with solitons and periodic structures for the Zakharov-Kuznetsov (ZK) equation and its modified form
• The Camassa-Holm-KP equations with compact and noncompact travelling wave solutions

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