The homotopic mapping solution for the solitary wave for a generalized nonlinear evolution equation
Mo Jia-Qi(莫嘉琪)a)b)c)† and Lin Su-Rong(林苏榕)d)
a Department of Mathematics, Anhui Normal University, Wuhu 241000, China; b Department of Mathematics, Huzhou Teachers College, Huzhou 313000, Chinac Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, Chinad Department of Computer, Fujian Radio and TV University, Fuzhou 350003, China
Abstract This paper studies a generalized nonlinear evolution equation. Using the homotopic mapping method, it constructs a corresponding homotopic mapping transform. Selecting a suitable initial approximation and using homotopic mapping, it obtains an approximate solution with an arbitrary degree of accuracy for the solitary wave. From the approximate solution obtained by using the homotopic mapping method, it possesses a good accuracy.
Received: 16 June 2008
Revised: 16 October 2008
Accepted manuscript online:
Fund: Project supported by the National Natural
Science Foundation of China (Grant Nos 40676016 and 40876010), the Knowledge
Innovation Project of Chinese Academy of Sciences (Grant No KZCX2-YW-Q03-08),
LASG State Key Laboratory Special fund and E-Institutes of Shanghai Municipal
Education Commission of China (Grant No E03004).
Cite this article:
Mo Jia-Qi(莫嘉琪) and Lin Su-Rong(林苏榕) The homotopic mapping solution for the solitary wave for a generalized nonlinear evolution equation 2009 Chin. Phys. B 18 3628
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