title: Exact traveling wave solutions for system of nonlinear evolution equations.
abstract: In this work, recently deduced generalized Kudryashov method is applied to the variant Boussinesq equations, and the (2 + 1)-dimensional breaking soliton equations. As a result a range of qualitative explicit exact traveling wave solutions are deduced for these equations, which motivates us to develop, in the near future, a new approach to obtain unsteady solutions of autonomous nonlinear evolution equations those arise in mathematical physics and engineering fields. It is uncomplicated to extend this method to higher-order nonlinear evolution equations in mathematical physics. And it should be possible to apply the same method to nonlinear evolution equations having more general forms of nonlinearities by utilizing the traveling wave hypothesis.
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, 6025 Bangladesh.
authors.forename: M Ali
authors.initials: MA
authors.lastname: Akbar
authors.affiliation: Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, Egypt.
authors.forename: Ahmed H
authors.initials: AH
authors.lastname: Arnous
keywords: Breaking soliton equations; Exact traveling wave solutions; Generalized Kudryashov method; Nonlinear evolution equation; Variant Boussinesq equation