Soliton-controlling dynamics with novel constraint conditions in inhomogeneous higher-order nonlinear Schrödinger equation fiber system

Inhomogeneous higher-order nonlinear Schrodinger equation is a useful physics model for ultrashort optical pulse. We obtain the exact soliton solution and find novel constraint conditions among the inhomogeneous system parameters by combining the ansatz and self-similar method. Then, we discuss the significance of the soliton and exhibit the rich modulations according to various nonlinearities and linear potentials. The numerical experiments are studied in order to analyze the stability of the soliton. This provides potential applications for the soliton controlling in inhomogeneous higher-order nonlinear model.