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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 897912, 7 pages
http://dx.doi.org/10.1155/2013/897912
Research Article

Conservation Laws of Some Physical Models via Symbolic Package GeM

1Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore 53200, Pakistan
2Department of Mathematics, School of Science and Engineering, LUMS, Lahore Cantt 54792, Pakistan

Received 10 May 2013; Accepted 13 June 2013

Academic Editor: Chaudry Masood Khalique

Copyright © 2013 Rehana Naz 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 study the conservation laws of evolution equation, lubrication models, sinh-Poisson equation, Kaup-Kupershmidt equation, and modified Sawada-Kotera equation. The symbolic software GeM (Cheviakov (2007) and (2010)) is used to derive the multipliers and conservation law fluxes. Software GeM is Maple-based package, and it computes conservation laws by direct method and first homotopy and second homotopy formulas.