Nonautonomous soliton solutions of variable-coefficient fractional nonlinear Schrödinger equation

Abstract The variable-coefficient fractional Y-expansion method is introduced, and some nonautonomous soliton solutions for the variable-coefficient time and space factional nonlinear Schrodinger equation (FNLSE) are obtained. These solutions can degenerate into those of variable-coefficient NLSE, constant-coefficient FNLSE and this same model in the previous literatures. The characteristics of fractional-order optical solitons is discussed.