Explicit solutions for couple higher order nonlinear Schrödinger equation by (G′G)-expansion method

Abstract

The G G ' -expansion method is used to study coupled higher order nonlinear Schrödinger equation. The traveling wave solutions obtained via this method are expressed by hyperbolic functions and the trigonometric functions. In addition to solitary waves solutions and periodic obtained when the choice of parameters are taken at special values. Moreover, the solution obtained via this method is in good agreement with previously obtained solutions of other researchers.