Soliton solutions for nonlinear Calogero-Degasperis and potential Kadomtsev-Petviashvili equations

DOI10.1016/j.camwa.2011.07.075zbMath1231.35209OpenAlexW2019207755MaRDI QIDQ660928

Anjan Biswas, Marko D. Petković, Anwar Ja'afar Mohamad Jawad

Publication date: 5 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.07.075

zbMATH Keywords

integrabilitysolitonscothtanh

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 solutions (35C08)

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Cites Work

• Unnamed Item
• Topological 1-soliton solution of Kadomtsev-Petviashvili equation with power law nonlinearity
• The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
• Traveling wave solutions using the variational method and the tanh method for nonlinear coupled equations
• A series of new exact solutions for a complex coupled KdV system
• Nonlinear variants of KdV and KP equations with compactons, solitons and periodic solutions
• Dynamics and bifurcations of travelling wave solutions of \(R(m, n)\) equations
• The tanh method for a reliable treatment of the K(\(n\), \(n\)) and the KP(\(n\), \(n\)) equations and its variants

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