中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2809-2818.doi: 10.1088/1009-1963/15/12/008

• GENERAL • 上一篇    下一篇

The Jacobi elliptic function-like exact solutions to two kinds of KdV equations with variable coefficients and KdV equation with forcible term

套格图桑, 斯仁到尔吉   

  1. College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China
  • 收稿日期:2006-03-06 出版日期:2006-12-20 发布日期:2006-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China(Grant No 10461006), the High Education Science Research Program(Grant No NJ02035) of Inner Mongolia Autonomous Region, Natural Science Foundation of Inner Mongolia Autonomous Region(Gr

The Jacobi elliptic function-like exact solutions to two kinds of KdV equations with variable coefficients and KdV equation with forcible term

Taogetusang(套格图桑)† and Sirendaoerji(斯仁到尔吉)   

  1. College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China
  • Received:2006-03-06 Online:2006-12-20 Published:2006-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China(Grant No 10461006), the High Education Science Research Program(Grant No NJ02035) of Inner Mongolia Autonomous Region, Natural Science Foundation of Inner Mongolia Autonomous Region(Gr

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摘要： By use of an auxiliary equation and through a function transformation, the Jacobi elliptic function wave-like solutions, the degenerated soliton-like solutions and the triangle function wave solutions to two kinds of Korteweg--de Vries (KdV) equations with variable coefficients and a KdV equation with a forcible term are constructed with the help of symbolic computation system Mathematica, where the new solutions are also constructed.

Abstract: By use of an auxiliary equation and through a function transformation, the Jacobi elliptic function wave-like solutions, the degenerated soliton-like solutions and the triangle function wave solutions to two kinds of Korteweg--de Vries (KdV) equations with variable coefficients and a KdV equation with a forcible term are constructed with the help of symbolic computation system Mathematica, where the new solutions are also constructed.

Key words: auxiliary equation, KdV equation with variable coefficients, KdV equation with a forcible term, Jacobi elliptic function-like exact solutions

中图分类号:  (Partial differential equations)

  • 02.30.Jr
05.45.Yv (Solitons)