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, cilt.18, ss.27-36, 2013 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 18 Konu: 1
  • Basım Tarihi: 2013
  • Dergi Adı: NONLINEAR ANALYSIS-MODELLING AND CONTROL
  • Sayfa Sayısı: ss.27-36

Özet

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.