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Chinese Physics, 2002, Vol. 11(9): 864-868    DOI: 10.1088/1009-1963/11/9/302
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New solitary wave solutions for nonlinear evolution equations

Yao Ruo-Xia (姚若侠)ab, Li Zhi-Bin (李志斌)a
a Department of Computer Science, East China Normal University, Shanghai 200062, China; b Department of Computer Science, Weinan Teachers College, Weinan 714000, China
Abstract  Three important nonlinear evolution equations are solved with the aid of the symbolic manipulation system, Maple, using the direct algebraic method proposed recently. We explicitly obtain several new solutions of physical interest in addition to rederiving all the known solutions.
Keywords:  nonlinear evolution equation      Riccati equations      solitary wave solution      symbolic computation  
Received:  14 December 2001      Revised:  22 May 2002      Accepted manuscript online: 
PACS:  02.70.Wz (Symbolic computation (computer algebra))  
Fund: Project supported by the Natural Science Foundation of the Education Bureau of Shaanxi Province, China (Grant No 01JK119), and the Natural Science Foundation of Shanghai, China (Grant No ZD14012).

Cite this article: 

Yao Ruo-Xia (姚若侠), Li Zhi-Bin (李志斌) New solitary wave solutions for nonlinear evolution equations 2002 Chinese Physics 11 864

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