Some exact solutions to the generalized Korteweg–de Vries equation and the system of shallow water wave equations
Articles > Article · 2013
Authors: Ihsan Timuçin Timuçin Dolapci, Ahmet YILDIRIM
Nonlinear Analysis: Modelling and Control, International, WoS, 2013, vol 18, pp 27-36
Summary
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.