Exact Traveling Wave Solutions of Two Nonlinear Evolution Equation Via the exp(- phi(Xi))-expansion Method

Author's Name: Jesmin Akter and M. Ali Akbar
Subject Area: Science and Engineering
Subject Mathematics
Section Research Paper


exp(- phi(Xi))-expansion method; Nonlinear evolution equation; Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation; good Boussinesq equation; Homogeneous balance; Traveling wave solutions.


The exp(- phi(Xi))-expansion method is a promising method for finding exact traveling wave solutions to nonlinear evolution equations in physical sciences. In this article, we use the exp(- phi(Xi))-expansion method to find the exact solutions for the nonlinear Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation and the good Boussinesq equations. Many solitary wave solutions are formally derived. Being apparent, short and less limiting, this method can also be applied to many higher-dimensional NLEEs.

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