Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations
Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations
This paper addresses the construction of different families of absorbing boundary conditions for the one- and two-dimensional Schrödinger equations with a general variable nonlinear potential. Various semidiscrete time schemes are built for the associated initial boundary value problems. Finally, some numerical simulations give a comparison of the various absorbing boundary …