Improved perturbed nonlinear Schrödinger dynamical equation with type of Kerr law nonlinearity with optical soliton solutions

Abstract

In this paper we have presented the analytical treatment of integrable improved perturbed nonlinear Schrödinger equation with type of Kerr law nonlinearity by using a newly proposed technique extended modified auxiliary equation mapping method. By the implementation of this method we have obtained a variety of some new and quite general form of exact traveling wave solutions in which we are including periodic, doubly periodic, combined, dark, bright, half dark, half bright, using three parameters which is the main key difference of our newly proposed method. For detailed dynamical physical description of our newly found results we have presented them with graphical representation using Mathematica 10.4 to explain in a more efficient manner the behavior of different physical structures of solutions.