Approximation of the soliton solution for the generalized Vakhnenko equation
Mo Jia-Qi (莫嘉琪)
Department of Mathematics, Anhui Normal University, Wuhu 241000, China Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong University, Shanghai 200240, China
Abstract A class of generalized Vakhnemko equation is considered. First, we solve the nonlinear differential equation by the homotopic mapping method. Then, an approximate soliton solution for the original generalized Vakhnemko equation is obtained. By this method an arbitrary order approximation can be easily obtained and, similarly, approximate soliton solutions of other nonlinear equations can be acquired.
Received: 05 March 2009
Revised: 01 May 2009
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 40676016 and
40876010), the Key Innovation Project of the Chinese Academy of
Sciences (Grant No KZCX2-YW-Q03-08), LASG State Key Laboratory
Special Fund, China, and in part by E-Institutes of Shanghai
Municipal Education Commission, China (Grant No E03004).
Cite this article:
Mo Jia-Qi (莫嘉琪) Approximation of the soliton solution for the generalized Vakhnenko equation 2009 Chin. Phys. B 18 4608
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