Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov’s method

In this work, we study the optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equation (NLSE) by means of the new Kudryashov’s method (NKM). The aforesaid model is examined with time-dependent coefficients. We considered three interesting non-Kerr laws which are respectively the quadratic-cubic law, anti-cubic law, andtriple power law. The proposed method, as a newly developed mathematical tool, is efficient, reliable, and a simple approach for computing new solutions to various kinds of nonlinear partial differential equations (NLPDEs) in applied sciences and engineering.