中国物理B ›› 2005, Vol. 14 ›› Issue (9): 1710-1715.doi: 10.1088/1009-1963/14/9/005

• GENERAL • 上一篇    下一篇

Exact travelling wave solutions for (1+1)-dimensional dispersive long wave equation

刘成仕   

  1. Department of Mathematics, Daqing Petroleum Institute, Daqing 163318, China
  • 收稿日期:2004-12-24 修回日期:2005-05-13 出版日期:2005-09-20 发布日期:2005-09-20

Exact travelling wave solutions for (1+1)-dimensional dispersive long wave equation

Liu Cheng-Shi (刘成仕)   

  1. Department of Mathematics, Daqing Petroleum Institute, Daqing 163318, China
  • Received:2004-12-24 Revised:2005-05-13 Online:2005-09-20 Published:2005-09-20

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摘要： A complete discrimination system for the fourth order polynomial is given.As an application, we have reduced a (1+1)-dimensional dispersive long wave equation with general coefficients to an elementary integral form and obtained its all possible exact travelling wave solutions including rational function type solutions, solitary wave solutions, triangle function type periodic solutions and Jacobian elliptic functions double periodic solutions. This method can be also applied to many other similar problems.

Abstract: A complete discrimination system for the fourth order polynomial is given.As an application, we have reduced a (1+1)-dimensional dispersive long wave equation with general coefficients to an elementary integral form and obtained its all possible exact travelling wave solutions including rational function type solutions, solitary wave solutions, triangle function type periodic solutions and Jacobian elliptic functions double periodic solutions. This method can be also applied to many other similar problems.

Key words: complete discrimination system for polynomial, (1+1)-dimensional dispersive long wave equation, travelling wave solution

中图分类号:  (Algebraic structures and number theory)

  • 02.10.De
05.45.Yv (Solitons) 02.30.Gp (Special functions) 02.30.Rz (Integral equations)