Exact Traveling Wave Solutions of some Nonlinear Evolution Equations

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Mathematical Sciences and Applications E-Notes
Volume:4 Issue:1
Exact Traveling Wave Solutions of some Nonlinear Evolution Equations

Exact Traveling Wave Solutions of some Nonlinear Evolution Equations

Authors : Meryem ODABASİ, Emine MİSİRLİ

Pages : 55-62

Doi:10.36753/mathenot.421403

View : 31 | Download : 13

Publication Date : 2016-04-15

Article Type : Research Paper

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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