Doubly Periodic Wave Solutions of Jaulent-Miodek Equations Using Variational Iteration Method Combined with Jacobian-function Method |
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| Authors: | ZHU Jia-Min LU Zhi-Ming LIU Yu-Lu |
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| Affiliation: | 1. Department of Computer, Yiwu Industrial and Commercial College, Yiwu 322000, China;2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | One of the advantages of the variational iteration methodis the free choice of initial guess. In this paper we use the basic ideaof the Jacobian-function method to construct a generalized trial functionwith some unknown parameters. The Jaulent-Miodek equations are used toillustrate effectiveness and convenience of this method, some new explicit exact travelling wave solutions have been obtained, which include bell-type soliton solution, kink-type soliton solutions, solitary wave solutions, and doubly periodic wave solutions. |
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| Keywords: | Jaulent-Miodek equations； Jacobian-function method； variational iteration method； doubly periodic wave solution； exact solution |
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