Approximate analytical solution for the Zakharov–Kuznetsov equations with fully nonlinear dispersion

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摘要

In this paper, variational iteration method (VIM) is used to obtain numerical and analytical solutions for the Zakharov–Kuznetsov equations with fully nonlinear dispersion. Comparisons with exact solution show that the VIM is a powerful method for the solution of nonlinear equations.

论文关键词:76M30,78M30,35A15,Variational iteration method,Zakharov–Kuznetsov (ZK) equations,Solitary wave solution

论文评审过程:Received 7 January 2007, Available online 27 April 2007.

论文官网地址:https://doi.org/10.1016/j.cam.2007.04.020