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Chin. Phys. B, 2010, Vol. 19(10): 100203    DOI: 10.1088/1674-1056/19/10/100203
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Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation

Mo Jia-Qi(莫嘉琪)a)c) and Chen Xian-Feng(陈贤峰)b)c)
a Department of Mathematics, Anhui Normal University, Wuhu 241000, China; b Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China; c Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong University, Shanghai 200240, China
Abstract  A class of generalized complex Burgers equation is considered. First, a set of equations of the complex value functions are solved by using the homotopic mapping method. The approximate solution for the original generalized complex Burgers equation is obtained. This method can find the approximation of arbitrary order of precision simply and reliably.
Keywords:  homotopic mapping      solitary wave      Burgers equation  
Received:  05 January 2010      Revised:  22 March 2010      Accepted manuscript online: 
PACS:  02.30.Mv (Approximations and expansions)  
  02.30.Sa (Functional analysis)  
  05.45.Yv (Solitons)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 40876010), the Main Direction Program of the Knowledge Innovation Project of the Chinese Academy of Sciences (Grant No. KZCX2-YW-Q03-08), the R & D Special Fund for Public Welfare Industry (Meteorology) (Grant No. GYHY200806010), the LASG State Key Laboratory Special Fund, the Foundation of E-Institutes of Shanghai Municipal Education Commission (Grant No.E03004) and the Natural Science Foundation of Zhejiang Province of China (Grant No.Y6090164).

Cite this article: 

Mo Jia-Qi(莫嘉琪) and Chen Xian-Feng(陈贤峰) Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation 2010 Chin. Phys. B 19 100203

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