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

doi:10.1088/1009-1963/11/6/303

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

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)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

^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

摘要/Abstract

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)

张解放, 郭冠平, 吴锋民. New multi-soliton solutions and travelling wave solutions of the dispersive long-wave equations[J]. 中国物理B, 2002, 11(6): 533-536.

Zhang Jie-Fang (张解放), Guo Guan-Ping (郭冠平), Wu Feng-Min (吴锋民). New multi-soliton solutions and travelling wave solutions of the dispersive long-wave equations[J]. Chinese Physics, 2002, 11(6): 533-536.

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

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

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