Šredingerio uždavinio su stiprinimo procesu sprendimas simetrizuota išskaidymo schema

Abstract

In this paper we consider one-dimensional nonlinear Shrödinger equation. The equation includes an absorption term and the solution is periodically amplified in order to compensate the lose of the energy. We present a finite difference approximation by a symetrical splitting scheme. The convergence of the discrete solution is proved.