Affiliation:
1. International Institute for Symmetry Analysis and Mathematical Modelling Department of Mathematical Sciences , North-West University , Mafikeng Campus Private Bag X 2046 , Mmabatho 2735 Republic of South Africa
Abstract
Abstract
In this paper we study the modified equal-width equation, which is used in handling simulation of a single dimensional wave propagation in nonlinear media with dispersion processes. Lie point symmetries of this equation are computed and used to construct an optimal system of one-dimensional subalgebras. Thereafter using an optimal system of one-dimensional subalgebras, symmetry reductions and new group-invariant solutions are presented. The solutions obtained are cnoidal and snoidal waves. Furthermore, conservation laws for the modified equal-width equation are derived by employing two different methods, the multiplier method and Noether approach.
Subject
Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science
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