Topological 1-soliton solution of the generalized KdV equation with generalized evolution

DOI10.1016/J.AMC.2010.06.054zbMath1202.35260OpenAlexW2091599147MaRDI QIDQ606770

Benjamin J. M. Sturdevant, Anjan Biswas

Publication date: 18 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.2010.06.054

zbMATH Keywords

integrabilitysolitonsKdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton solutions (35C08)

Related Items (3)

Different wave structures for the \((2+1)\)-dimensional Korteweg-de Vries equation ⋮ Bäcklund transformations and soliton solutions for a \((2+1)\)-dimensional Korteweg-de Vries-type equation in water waves ⋮ Bifurcations and Exact Solitary Wave, Compacton and Pseudo-Peakon Solutions in a Modified Generalized KdV Equation

Cites Work

• Solitary wave solutions for a coupled pair of mKdV equations
• Adiabatic parameter dynamics of perturbed solitary waves
• Seven common errors in finding exact solutions of nonlinear differential equations
• The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
• New exact explicit solutions of the generalized KdV equations
• 1-soliton solution of the generalized KdV equation with generalized evolution
• 1-Soliton solution of the generalized KP equation with generalized evolution
• The integral factor method for solving a class of generalized KdV equation
• Compactons, solitons and periodic solutions for variants of the KdV and the KP equations
• Variants of the generalized KdV equation with compact and noncompact structures

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