Application of (G'/G)-Expansion Method to the Compound KdV–Burgers-Type Equations

Mustafa MIZRAK; Abdulkadir ERTAŞ

doi:10.3390/mca17010018

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Article

1 April 2012

Application of (G'/G)-Expansion Method to the Compound KdV–Burgers-Type Equations

and

Dicle University, Ziya Gökalp Faculty of Education, Department of Mathematics,21280,Diyarbakır, Turkey

Dicle University, Science Faculty, Department of Mathematics, 21280, Diyarbakır, Turkey

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Math. Comput. Appl.2012, 17(1), 18-28;https://doi.org/10.3390/mca17010018

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Abstract

In this Letter, the (G'/G) -expansion method is proposed to seek exact solutions of nonlinear evolution equations. For illustrative examples, we choose the compound KdV-Burgers equation, the compound KdV equation, the KdV-Burgers equation, the mKdV equation. The power of the employed method is confirmed.

Keywords:

(G'/G) -expansion method; the compound KdV-Burgers equation; Travelling wave solutions

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