LAUSR

Abstract In this work, inhomogeneous coupled cubic–quintic nonlinear Schrodinger equation which can be imitated the transmission of optical solitons in inhomogeneous non-Kerr birefringence fiber is investigated. Through the Lax pair, by employing Darboux transformation method, soliton propagation in non-Kerr fiber is investigated analytically. Inhomogeneous functions and other related parameters are considered with different functions to analyze the impacts on the soliton transmission in real fiber systems. By studying the soliton propagation properties, we conclude that how to choose the control parameters to control the soliton propagation for various applications. Besides, inhomogeneous functions with control parameters are plays vital role in the evolutional characteristics such as period of oscillation, intensity, width, trajectory and phase shift. For graphical illustration of obtained novel results and to explore the behavior of various physical structures of solutions, Mathematica is employed with symbolic computation. Results obtained in this work is a potential candidate for controlling soliton structures with quintic effect in inhomogeneous optical communication which includes soliton control and soliton shaping in the non-Kerr media.