中国物理B ›› 2002, Vol. 11 ›› Issue (6): 533-536.doi: 10.1088/1009-1963/11/6/303

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New multi-soliton solutions and travelling wave solutions of the dispersive long-wave equations

郭冠平1, 张解放2, 吴锋民2   

  1. (1)College of Education Science and Technology, Zhejiang Normal University, Jinhua 321004, China; (2)Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2001-08-15 修回日期:2002-01-27 出版日期:2002-06-12 发布日期:2005-06-12

New multi-soliton solutions and travelling wave solutions of the dispersive long-wave equations

Zhang Jie-Fang (张解放)a, Guo Guan-Ping (郭冠平)b, Wu Feng-Min (吴锋民)a   

  1. a Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; b College of Education Science and Technology, Zhejiang Normal University, Jinhua 321004, China
  • Received:2001-08-15 Revised:2002-01-27 Online:2002-06-12 Published:2005-06-12

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摘要： Using the extended homogeneous balance method, the (1+1)-dimensional dispersive long-wave equations have been solved. Starting from the homogeneous balance method, we have obtained a nonlinear transformation for simplifying a dispersive long-wave equation into a linear partial differential equation. Usually, we can obtain only a type of soliton-like solution. In this paper, we have further found some new multi-soliton solutions and exact travelling solutions of the dispersive long-wave equations from the linear partial equation.

Abstract: Using the extended homogeneous balance method, the (1+1)-dimensional dispersive long-wave equations have been solved. Starting from the homogeneous balance method, we have obtained a nonlinear transformation for simplifying a dispersive long-wave equation into a linear partial differential equation. Usually, we can obtain only a type of soliton-like solution. In this paper, we have further found some new multi-soliton solutions and exact travelling solutions of the dispersive long-wave equations from the linear partial equation.

Key words: soliton solution, dispersive long-wave equation, extended homogeneous balance method

中图分类号:  (Solitons)

  • 05.45.Yv
03.65.Ge (Solutions of wave equations: bound states) 02.30.Jr (Partial differential equations) 02.60.Lj (Ordinary and partial differential equations; boundary value problems) 02.30.Uu (Integral transforms)