Symmetrical splitting scheme for nonlinear Shrödinger equation

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...

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Bibliographic Details
Main Authors: Raimondas Čiegis, Violeta Pakenienė
Format: Article
Language:English
Published: Vilnius University Press 2001-12-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/34637