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Chinese Physics, 2005, Vol. 14(9): 1687-1690    DOI: 10.1088/1009-1963/14/9/001
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An extended functional transformation method and its application in some evolution equations

Ding Hai-Yong (丁海勇)a, Xu Xi-Xiang (徐西祥)b, Yang Hong-Xiang (杨宏祥)bc
a College of Information Science and Engineering,Shandong Agricultural University, Taian 271018, China; b College of Science, Shandong University of Science and Technology, Qingdao 266150, China; c Department of Computer Science, Taishan University, Taian 271021, China
Abstract  In this paper, an extended functional transformation is given to solve some nonlinear evolution equations. This function, in fact,is a solution of the famous KdV equation, so this transformation gives a transformation between KdV equation and other soliton equations. Then many new exact solutions can be given by virtue of the solutions of KdV equation.
Keywords:  extended functional transformation      exact solution      KdV equation  
Received:  01 March 2005      Revised:  04 April 2005      Accepted manuscript online: 
PACS:  02.30.-f (Function theory, analysis)  
  05.45.Yv (Solitons)  

Cite this article: 

Ding Hai-Yong (丁海勇), Xu Xi-Xiang (徐西祥), Yang Hong-Xiang (杨宏祥) An extended functional transformation method and its application in some evolution equations 2005 Chinese Physics 14 1687

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