Numerical solution of nonlinear Schr?dinger equation with damping term on unbounded domain

The artificial boundary method is applied to numerically solve the nonlinear Schrodinger equation with damping term on unbounded domain. A novel trans-formation is developed to eliminate the troublesome damping term, which yields the difficulty to design the artificial boundary conditions. The artificial boundary conditions are investigated to reduce the original problem into an initial boundary value problem, based on the idea of operator splitting approach. The stability of the reduced problem is analyzed by the energy estimation. The accuracy and effectiveness of the proposed method are verified by numerical examples.(c) 2023 Elsevier Ltd. All rights reserved.