Journal of Applied Mathematics
Volume 2012 (2012), Article ID 575387, 14 pages
http://dx.doi.org/10.1155/2012/575387
Research Article

New Traveling Wave Solutions of the Higher Dimensional Nonlinear Partial Differential Equation by the Exp-Function Method

Hasibun Naher,1,2 Farah Aini Abdullah,1 and M. Ali Akbar1,3

1School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia
2Department of Mathematics and Natural Sciences, Brac University, 66 Mohakhali, Dhaka 1212, Bangladesh
3Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh

Received 12 July 2011; Revised 4 October 2011; Accepted 4 October 2011

Academic Editor: A. A. Soliman

Copyright © 2012 Hasibun Naher et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We construct new analytical solutions of the ( 3 + 1 )-dimensional modified KdV-Zakharov-Kuznetsev equation by the Exp-function method. Plentiful exact traveling wave solutions with arbitrary parameters are effectively obtained by the method. The obtained results show that the Exp-function method is effective and straightforward mathematical tool for searching analytical solutions with arbitrary parameters of higher-dimensional nonlinear partial differential equation.