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Chinese Physics, 2004, Vol. 13(10): 1606-1610    DOI: 10.1088/1009-1963/13/10/004
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The novel multi-solitary wave solution to the fifth-order KdV equation

Zhang Yi (张翼)ab, Chen Deng-Yuan (陈登远)b
a Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China; b Department of Mathematics, Shanghai University, Shanghai 200436, China
Abstract  By using Hirota's method, the novel multi-solitary wave solutions to the fifth-order KdV equation are obtained. Furthermore, various new solitary wave solutions are also derived by a reconstructed bilinear B?cklund transformation.
Keywords:  solitary wave      bilinear method      B?cklund transformation      fifth-order KdV equation  
Received:  16 October 2003      Revised:  31 May 2004      Accepted manuscript online: 
PACS:  02.30.-f (Function theory, analysis)  
Fund: Project supported by the Special Funds for Major Specialities of Zhejiang Province, China (Grant No 20020868).

Cite this article: 

Zhang Yi (张翼), Chen Deng-Yuan (陈登远) The novel multi-solitary wave solution to the fifth-order KdV equation 2004 Chinese Physics 13 1606

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