Some exact solutions to the generalized Korteweg-de Vries equation and the system of shallow water wave equations


Dolapci I. T. , YILDIRIM A.

NONLINEAR ANALYSIS-MODELLING AND CONTROL, vol.18, no.1, pp.27-36, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 1
  • Publication Date: 2013
  • Title of Journal : NONLINEAR ANALYSIS-MODELLING AND CONTROL
  • Page Numbers: pp.27-36

Abstract

In this paper, we establish exact solutions for nonlinear evolution equations in mathematical physics. The exp-transform method is proposed to seek solitary solutions, periodic solutions and compaction-like solutions of nonlinear differential equations. The generalized KdV equation and the system of the shallow water wave equation are chosen to illustrate the effectiveness and convenience of the method.