The homotopic mapping solution for the solitary wave for a generalized nonlinear evolution equation |
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| Authors: | Mo Jia-Qi and Lin Su-Rong |
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| Affiliation: | Department of Mathematics, Anhui Normal University, Wuhu 241000, China; Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China; Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China; Department of Computer, Fujian Radio and TV University, Fuzhou 350003, China |
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| Abstract: | This paper studies a generalized nonlinear evolution equation. Usingthe homotopic mapping method, it constructs a corresponding homotopicmapping transform. Selecting a suitable initial approximation andusing homotopic mapping, it obtains an approximate solution with anarbitrary degree of accuracy for the solitary wave. From theapproximate solution obtained by using the homotopic mapping method, itpossesses a good accuracy. |
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| Keywords: | evolution equation nonlinear soliton approximate method |
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