Table of Contents
International Journal of Partial Differential Equations
Volume 2014, Article ID 904252, 5 pages
Research Article

Conservation Laws for a Degasperis Procesi Equation and a Coupled Variable-Coefficient Modified Korteweg-de Vries System in a Two-Layer Fluid Model via the Multiplier Approach

1Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
2Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt

Received 21 May 2014; Revised 20 September 2014; Accepted 16 October 2014; Published 13 November 2014

Academic Editor: Athanasios N. Yannacopoulos

Copyright © 2014 E. Osman 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.


We employ the multiplier approach (variational derivative method) to derive the conservation laws for the Degasperis Procesi equation and a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Firstly, the multipliers are computed and then conserved vectors are obtained for each multiplier.