ANALYTIC SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS IN MATHEMATICAL PHYSICS

K.A. Gepreel, T.A. Nofal
2016 International Journal of Pure and Applied Mathematics  
In this article, we use the modified (w/g)-expansionmethod to find the traveling wave solutions for some nonlinear partial differential equations in mathematical physicsvia the nonlinear variant Boussinesq differential equations.When w and g are taken special choices, some families of direct expansion methods are obtained to obtain the exact solutions for the nonlinear evolutions equations in the mathematical physics. Based on these interesting results, we further give two forms of expansions
more » ... rms of expansions via the modified g ′ /g 2 -expansion method and modified g ′ -expansion methods. When the parameters are taken some special values, the solitary wave are derived from the traveling waves.This method is reliable, simple, and gives many new exact solutions.
doi:10.12732/ijpam.v106i4.3 fatcat:f2y5isdf3nbetfb6yk4h3fci2q