\(N\)-soliton solutions for the combined KdV-CDG equation and the KdV-Lax equation

DOI10.1016/j.amc.2008.04.047zbMath1185.65192OpenAlexW1969418771MaRDI QIDQ2518733

Abdul-Majid Wazwaz

Publication date: 16 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.04.047

zbMATH Keywords

Hirota bilinear methodLax equation\(N\)-soliton solutionsCDG equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (10)

Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation ⋮ The D’Alembert type waves and the soliton molecules in a (2+1)-dimensional Kadomtsev-Petviashvili with its hierarchy equation* ⋮ Topological soliton and other exact solutions to KdV--Caudrey--Dodd--Gibbon equation ⋮ Consistent Riccati expansion solvable classification and soliton-cnoidal wave interaction solutions for an extended Korteweg-de Vries equation ⋮ Hybrid soliton and breather waves, solution molecules and breather molecules of a \((3+1)\)-dimensional Geng equation in shallow water waves ⋮ Some remarks on the fifth-order KdV equations ⋮ Multiple soliton solutions and multiple singular soliton solutions for (2+1)-dimensional shallow water wave equations ⋮ Determination of the rich structural wave dynamic solutions to the Caudrey-Dodd-Gibbon equation and the Lax equation ⋮ Multiple-soliton solutions and multiple-singular soliton solutions for two higher-dimensional shallow water wave equations ⋮ Bäcklund transformation, Lax pair, and solutions for the Caudrey–Dodd–Gibbon equation

Uses Software

• MACSYMA
• HIROTA.MAX

Cites Work

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