title: Exact traveling wave solutions of modified KdV-Zakharov-Kuznetsov equation and viscous Burgers equation.
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.
  35C07; 35C08; 35P99.
authors.affiliation: Department of Electronics and Telecommunication Engineering, Prime University, Dhaka, 1216 Bangladesh ; School of Biomolecular and Physical Sciences, Griffith University, Kragujevac, Australia.
authors.forename: Md Hamidul
authors.initials: MH
authors.lastname: Islam
authors.affiliation: Department of Mathematics, Pabna University of Science and Technology, Pabna, 6600 Bangladesh.
authors.forename: Kamruzzaman
authors.initials: K
authors.lastname: Khan
authors.affiliation: Department of Applied Mathematics, University of Rajshahi, Rajshahi, 6205 Bangladesh.
authors.forename: M Ali
authors.initials: MA
authors.lastname: Akbar
authors.affiliation: Department of Mathematics, Mawlana Bhashani Science and Technology University, Tangail, 1902 Bangladesh.
authors.forename: Md Abdus
authors.initials: MA
authors.lastname: Salam
keywords: Enhanced (G '/G)-expansion method; Modified KDV-ZK equation; Solitary wave; Traveling wave; Viscous burgers equation