Study on propagation properties of fractional soliton in the inhomogeneous fiber with higher-order effects

This paper investigates a coupled higher-order variable-coefficient nonlinear Schrodinger equation, which may have some prospective applications in optical fiber communications. We present a modified Kudryashov method, which can be successfully applied to the fractional variable-coefficient equations with the modified Riemann-Liouville fractional derivative and obtain the soliton solution. The double-hump solitons and multi-soliton solutions are given via the Hirota bilinear method. Furthermore, we study the interaction of solitons by dynamical analysis and consider some important physical quantities. The relationship between the dynamical structure of the solitons and the certain parameters in the fractional nonlinear optical system is given by analyzing the analytical expressions and the dynamical images of the exact solutions. The results of this paper are helpful in promoting the study of fractional nonlinear optical systems and have theoretical guidance for optical communication in inhomogeneous optical fibers.