Approximation of the soliton solution for the generalized Vakhnenko equation |
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| Authors: | Mo Jia-Qi |
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| Institution: | 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 |
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| 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. |
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| Keywords: | homotopic mapping soliton Vakhnemko equation |
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