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Exact traveling wave solutions of modified KdV-Zakharov-Kuznetsov equation and viscous Burgers equation
Md Hamidul Islam1, Kamruzzaman Khan2, M Ali Akbar3
1Department of Electronics and Telecommunication Engineering, Prime University, Dhaka, 1216 Bangladesh ; School of Biomolecular and Physical Sciences, Griffith University, Kragujevac, Australia.
Abstract:
Mathematical modeling of many physical systems leads to nonlinear evolution equations because most physical systems are inherently nonlinear in nature. The investigation of traveling wave solutions of nonlinear partial differential equations (NPDEs) plays a significant role in the study of nonlinear physical phenomena. In this article, we construct the traveling wave solutions of modified KDV-ZK equation and viscous Burgers equation by using an enhanced (G '/G) -expansion method. A number of traveling wave solutions in terms of unknown parameters are obtained. Derived traveling wave solutions exhibit solitary waves when special values are given to its unknown parameters.
Mathematics Subject Classification:
35C07; 35C08; 35P99.
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