Exact 1-soliton solution of the Zakharov equation in plasmas withpower law nonlinearity

DOI10.1016/j.amc.2011.02.036zbMath1213.65134OpenAlexW2002633780MaRDI QIDQ531666

Anjan Biswas, Pablo U. Suárez

Publication date: 19 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.036

zbMATH Keywords

exact solutionintegrabilitysolitonspower law nonlinearityansatz methodZakharov equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Statistical mechanics of plasmas (82D10)

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Cites Work

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• Seven common errors in finding exact solutions of nonlinear differential equations
• Numerical solution of the generalized Zakharov equation by homotopy analysis method
• On the existence and uniqueness of smooth solution for a generalized Zakharov equation
• The extended tanh method for abundant solitary wave solutions of nonlinear wave equations
• Variational approach to solitary wave solution of the generalized Zakharov equation
• 1-soliton solution of the generalized Zakharov equation in plasmas by He's variational principle
• Explicit exact solutions for the generalized Zakharov equations with nonlinear terms of any order
• Exp-function method for solving the generalized-Zakharov equations

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