Exact Traveling Wave Solutions of some Nonlinear Evolution Equations

Abstract

In nonlinear sciences, it is important to obtain traveling wave solutions of nonlinear evolution equations to understand the phenomena they describe. In this study, we obtained the exact traveling wave solutions of the Liouville equation, two-dimensional Bratu equation, generalized heat conduction equation and coupled nonlinear Klein-Gordon equations by means of the trial equation method and the complete discrimination system. This method is reliable, effective and enables to get soliton, single-kink and compacton solutions of the generalized nonlinear evolution equations and systems of equations.