Abstract
The propagation of the optical solitons is usually governed by the nonlinear Schrödinger equations. In this article, the two variable(G'⁄G,1⁄G) -expansion method is employed to construct the exact traveling wave solutions with parameters of two nonlinear partial differential equations (PDEs) namely, the (1+1)-dimensional nonlinear Schrödinger-Boussinesq system and the (2+1)-dimensional hyperbolic nonlinear Schrödinger (HNLS) equation which describe the propagation of optical pulses in optic fibers. When the parameters are replaced by special values, the solitary wave solutions of these equations are found from the traveling waves.
Key words: The two variable (G'⁄G,1⁄G) -expansion method, nonlinear Schrödinger-Boussinesq system, hyperbolic nonlinear Schrödinger (HNLS) equation, exact traveling wave solutions, solitary wave solutions.
