(G'/G)-expansion method and Weierstrass elliptic function method applied to coupled wave equation

This paper deals with the exact solutions of a nonlinear coupled wave equation. The (G^'/G)-expansion method has been applied to derive kink solutions and singular wave solutions. The restrictions on the coefficients of the governing equations have also been investigated. Solitary wave solutions have also been derived for this system of equations using the Weierstrass elliptic function method.