中国物理B ›› 2009, Vol. 18 ›› Issue (10): 4094-4099.doi: 10.1088/1674-1056/18/10/005

• GENERAL • 上一篇    下一篇

New explicit and exact solutions of the Benney--Kawahara--Lin equation

谢元喜   

  1. Department of Physics and Electronic Information, Hunan Institute of Science and Technology, Yueyang 414000, China
  • 收稿日期:2009-02-03 修回日期:2009-03-28 出版日期:2009-10-20 发布日期:2009-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10672053).

New explicit and exact solutions of the Benney--Kawahara--Lin equation

Xie Yuan-Xi(谢元喜)†   

  1. Department of Physics and Electronic Information, Hunan Institute of Science and Technology, Yueyang 414000, China
  • Received:2009-02-03 Revised:2009-03-28 Online:2009-10-20 Published:2009-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10672053).

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摘要： In this paper, we present a combination method of constructing the explicit and exact solutions of nonlinear partial differential equations. And as an illustrative example, we apply the method to the Benney-Kawahara-Lin equation and derive its many explicit and exact solutions which are all new solutions.

Abstract: In this paper, we present a combination method of constructing the explicit and exact solutions of nonlinear partial differential equations. And as an illustrative example, we apply the method to the Benney-Kawahara-Lin equation and derive its many explicit and exact solutions which are all new solutions.

Key words: combination method, Benney--Kawahara--Lin equation, explicit and exact solution

中图分类号:  (Partial differential equations)

  • 02.30.Jr
02.30.Mv (Approximations and expansions) 02.30.Sa (Functional analysis)