Topological 1-soliton solution of Kadomtsev-Petviashvili equation with power law nonlinearity
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Publication:609342
DOI10.1016/j.amc.2009.09.042zbMath1202.35215OpenAlexW2086347348MaRDI QIDQ609342
Anjan Biswas, Arjuna I. Ranasinghe
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.2009.09.042
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton solutions (35C08) Topological and monotonicity methods applied to PDEs (35A16)
Related Items (5)
Soliton solutions for nonlinear Calogero-Degasperis and potential Kadomtsev-Petviashvili equations ⋮ Multiple wave solutions and auto-Bäcklund transformation for the \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation ⋮ 1-Soliton solution of the generalized KP equation with generalized evolution ⋮ Topological and Nontopological 1-Soliton Solution of the Generalized KP-MEW Equation ⋮ Dynamics of shallow water waves with Gardner-Kadomtsev-Petviashvili equation
Cites Work
- Equivalence classes and symmetries of the variable coefficient Kadomtsev-Petviashvili equation
- Be careful with the Exp-function method
- Seven common errors in finding exact solutions of nonlinear differential equations
- Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method
- The Hirota's bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petviashvili equation
- Compact structures for variants of the generalized KdV and the generalized KP equations.
- A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
- Regular soliton solutions and singular soliton solutions for the modified Kadomtsev-Petviashvili equations
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