中国物理B ›› 2004, Vol. 13 ›› Issue (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

陈登远1, 张翼2   

  1. (1)Department of Mathematics, Shanghai University, Shanghai 200436, China; (2)Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China; Department of Mathematics, Shanghai University, Shanghai 200436, China
  • 收稿日期:2003-10-16 修回日期:2004-05-31 出版日期:2004-10-20 发布日期:2005-06-20
  • 基金资助:
    Project supported by the Special Funds for Major Specialities of Zhejiang Province, China (Grant No 20020868).

The novel multi-solitary wave solution to the fifth-order KdV equation

Zhang Yi (张翼)ab, Chen Deng-Yuan (陈登远)b   

  1. a Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China; b Department of Mathematics, Shanghai University, Shanghai 200436, China
  • Received:2003-10-16 Revised:2004-05-31 Online:2004-10-20 Published:2005-06-20
  • Supported by:
    Project supported by the Special Funds for Major Specialities of Zhejiang Province, China (Grant No 20020868).

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摘要： 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.

关键词: solitary wave, bilinear method, B?cklund transformation, fifth-order KdV equation

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.

Key words: solitary wave, bilinear method, B?cklund transformation, fifth-order KdV equation

中图分类号:  (Function theory, analysis)

  • 02.30.-f