WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
Simple Equation Method for Nonlinear Evolution Equations in Mathematical Physics
Authors: , ,
Abstract: In this article, we use a direct method namely simple equation method to construct the traveling wave solutions for some nonlinear evolution equations in mathematical physics via, the nonlinear Schrodinger equation with dual power law nonlinearity, the nonlinear variant Boussinesq differential equations, the nonlinear generalized- Zakharov equations and the nonlinear coupled Maccaris equations. In the simple equation method, we suppose the trial equation satisfies the first order Bernoulli differential equation or the first order Riccati differential equation. It has been shown that this method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems.
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Keywords: Simple equation method, Nonlinear evaluation equations, Traveling wave solutions, Exact solutions
Pages: 462-476
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 15, 2016, Art. #43