Author's Name: |
Jesmin Akter and M. Ali Akbar |
Subject Area: |
Science and Engineering |
Subject |
Mathematics |
Section |
Research Paper |
Keyword:
exp(- phi(Xi))-expansion method; Nonlinear evolution equation; Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation; good Boussinesq equation; Homogeneous balance; Traveling wave solutions.
Abstract
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.