journal article·2012-12-01Open access

Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method

Hasibun Naher, Farah Aini Abdullah, Ahmet Bekir

AIP Advances· Volume 2· Issue 4

Abstract

In this article, we investigate the compound KdV-Burgers equation involving parameters by applying the improved (G′/G)-expansion method for constructing some new exact traveling wave solutions including solitons and periodic solutions. The second order linear ordinary differential equation with constant coefficients is used, in this method. The obtained solutions are presented through the hyperbolic, the trigonometric and the rational functions. Further, it is significant to point out that some of our solutions are in good agreement for special cases with the existing results which validates our other solutions. Moreover, some of the obtained solutions are described in the figures.
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Research context

OpenAlex topics: Nonlinear Waves and Solitons · Nonlinear Photonic Systems · Algebraic structures and combinatorial models

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Universiti Sains Malaysia 1 School of Mathematical Sciences, , 11800 Penang, Malaysia

Eskisehir Osmangazi University 2 Mathematics and Computer Sciences Department, , Turkey

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