Investigation of optical solitons and other solutions in optic fibers modeled by the improved perturbed nonlinear Schrödinger equation

Abstract

In this manuscript, we discuss the dynamical behavior of improved perturbed nonlinear Schrödinger equation (NLSE) which propagates optical pulses in nonlinear optical fibers. The governing equation is composed of group velocity dispersion (GVD), nonlinearity, self-steeping, higher order and third order dispersion coefficients. The different kinds of solutions in the forms of bright, dark, combo and complex solitons are extracted by the assistance of recently developed integration tools, namely, the extended rational sine-cosine/sinh-cosh techniques, ϕ6-model expansion method and generalized exponential rational function method (GERFM). Moreover, the hyperbolic, Jacobi elliptic function (JEF), exponential, and trigonometric function solutions are recovered. A comparison is made between our results and those that are well-known, and the study concludes that the solutions we’ve reached are novel. The significance of the results is illustrated by selecting appropriate parameter values for numerical simulation and physical explanations. For the nonlinear dynamical behavior of a given system, this paper’s results can improve it and demonstrate that the applied methodology is suitable. A wide range of experts in the field of engineering models will benefit from this research, according to our opinion. The results suggest that the computational methodologies used are direct, efficient, concise, and that they may be applied to more complicated phenomena with the help of symbolic computations.