The modified auxiliary equation method to investigate solutions of the perturbed nonlinear Schrodinger equation with Kerr law nonlinearity

A variety of solitary wave solutions of the nonlinear Schrodinger equation (NLSE) with the aid of three order dispersion terms is investigated by the modified auxiliary equation method. Exact traveling wave solutions such as singular complex wave solutions and nonsingular complex wave solutions are obtained. The physical meaning of the geometrical structures for the nonsingular complex wave solutions is discussed with suitable choice of the free parameters which further characterized by bright soliton waves, stable bright periodic waves and symmetric waves.