Abstract

The-expansion method is one of the most direct and effective method for obtaining exact solutions of nonlinear partial differential equations (PDEs). In the present article, we construct the exact travelling wave solutions of nonlinear evolution equations in mathematical physics via (2+1) dimensional generalized KdV, Sin Gordon Equation and Landau-Ginzburg-Higgs Equation by -expansion method, where  satisfies the auxiliary ordinary differential equation (ODE)  where  and  are arbitrary constants.

Key words: (2+1) dimensional generalized KdV, Sin Gordon Equation, Landau- Ginzburg-Higgs equation, -expansion method, auxiliary equation, travelling wave solutions.