Exact Traveling Wave Solutions of Nonlinear PDEs in Mathematical Physics

Jameel F. Alzaidy

Mathematics Department, Faculty of Science, Taif University, Kingdom of Saudi Arabia.

DOI: 10.4236/am.2012.37109                

Abstract

In the present article, we construct the exact traveling wave solutions of nonlinear PDEs in mathematical physics via the variant Boussinesq equations and the coupled KdV equations by using the extended mapping method and auxiliary equation method. This method is more powerful and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical physics.

Keywords

Extended Mapping Method; Auxiliary Equation Method; The Variant Boussinesq Equations; The Coupled KdV Equations; Traveling Wave Solutions

Conflicts of Interest

The authors declare no conflicts of interest.

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