Exact Traveling Wave Solutions of some Nonlinear Evolution Equations

Year 2016, Volume: 4 Issue: 1, 55 - 62, 15.04.2016

Meryem Odabasi Emine Misirli

https://doi.org/10.36753/mathenot.421403

Cited By: 1

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.

Keywords

generalized heat conduction equation, coupled nonlinear Klein-Gordon equations, trial equation method

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