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The (G'/G)-expansion method can be used for constructing exact traveling wave solutions of nonlinear evolution equations, where G=G(£i) 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...
The (G′G)-expansion method is firstly proposed, where G=G(ξ) satisfies a second order linear ordinary differential equation (LODE for short), by which the travelling wave solutions involving parameters of the KdV equation, the mKdV equation, the variant Boussinesq equations and the Hirota–Satsuma equations are obtained. When the parameters are taken as special values the solitary waves are also derived...
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