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

Hasibun Naher | Zendy; Farah Aini Abdullah | Zendy; Ahmet Bekir | Zendy

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

Author(s) -

Hasibun Naher,

Farah Aini Abdullah,

Ahmet Bekir

Publication year - 2012

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4769751

Subject(s) - korteweg–de vries equation , traveling wave , hyperbolic function , burgers' equation , mathematics , mathematical analysis , trigonometry , ordinary differential equation , constant (computer programming) , partial differential equation , trigonometric functions , periodic wave , differential equation , nonlinear system , physics , computer science , geometry , quantum mechanics , programming language

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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