Applications of (G'/G)-expansion to Traveling Wave Solutions for Variant Boussinesq Equations

Abstract

The (G'/G)-expansion method can be used for constructing exact traveling wave solutions of nonlinear evolution equations, where G=G(ξ) satisfies a second order linear ordinary differential equation (LODE for short), by which the traveling wave solutions involving parameters for the variant Boussinesq equations are obtained. The traveling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions.