Perturbed nonlinear Schrödinger dynamical wave equation with Kerr media in nonlinear optics via optical solitons

Abstract

In this paper, we have presented the analytical analysis of integrable perturbed nonlinear Schrödinger (PNLSE) equation with third-order dispersion (TOD) in Kerr media using our newly proposed technique, extended modified auxiliary equation mapping method. By the implementation of this technique, we have obtained a variety of some new families and more general form of exact traveling wave solutions including triangular-type solutions, periodic and doubly periodic-like solutions, combined soliton-like solutions, kink and anti-kink type soliton-like solutions using three parameters which is the key difference of our newly proposed method. PNLSE is a well-known governing model to study the propagation of optical solitons in nonlinear optical fibers and other telecommunication networks with a type of Kerr law nonlinearity. This particular type of nonlinearity originates when a light wave in an optical fiber is subjected to nonlinear responses. For graphical representation of our newly found results, we have presented them with detailed dynamical physical representation using Mathematica 10.4 to explain in a more efficient manner the behavior of different physical structures of solutions. Also, the computational work and efficiency of the method demonstrate the reliability, straightforwardness, and simplicity of the technique for solving other nonlinear complicated partial differential equations.