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Laser Physics

, 21:1491 | Cite as

Numerical solution of time-dependent nonlinear Schrödinger equations using domain truncation techniques coupled with relaxation scheme

  • X. AntoineEmail author
  • C. Besse
  • P. Klein
Physics of Cold Trapped Atoms

Abstract

The aim of this paper is to compare different ways for truncating unbounded domains for solving general nonlinear one- and two-dimensional Schrödinger equations. We propose to analyze Complex Absorbing Potentials, Perfectly Matched Layers and Absorbing Boundary Conditions. The time discretization is made by using a semi-implicit relaxation scheme which avoids any fixed point procedure. The spatial discretization involves finite element methods. We propose some numerical experiments to compare the approaches.

Keywords

Computational Domain Laser Phys Laser Physics Soliton Solution Perfectly Match Layer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  1. 1.Institut Elie Cartan NancyNancy-Université, CNRS UMR 7502, INRIA CORIDA TeamVandoeuvre-lès-NancyFrance
  2. 2.Laboratoire Paul Painlevé, Univ Lille Nord de France, CNRS UMR 8524, INRIA SIMPAF TeamUniversité Lille 1 Sciences et Technologies, Cité ScientifiqueVilleneuve d’Ascq CedexFrance

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