Table of Contents
ISRN Mathematical Physics
Volume 2014, Article ID 967176, 11 pages
Research Article

The Investigation of Exact Solutions for the Appropriate Type of the Dispersive Long Wave Equation

Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht 41335-19141, Iran

Received 27 November 2013; Accepted 1 February 2014; Published 19 March 2014

Academic Editors: G. Cleaver, J. Garecki, D. Gepner, R. Parwani, and G. F. Torres del Castillo

Copyright © 2014 J. Biazar 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.


Improved -expansion and first integral methods are used to construct exact solutions of the -dimensional Eckhaus-type extension of the dispersive long wave equation. The -expansion method is based on the assumptions that the travelling wave solutions can be expressed by a polynomial in and the first integral method is based on the theory of commutative algebra in which Division Theorem is of concern. It is worth mentioning that these methods are used for different systems and those two different systems can both be reduced to a system that will be mentioned in this paper. To recapitulate, this investigation has resulted in the exact solutions of the given systems.