Finite-difference solutions of a non-linear Schroedinger equation

A Schroedinger equation with a power nonlinearity is solved using a finite-difference scheme which satisfies discrete analogs of the conservation laws. A special case of the equation considered is currently used to model the propagation of a laser beam in a plasma. The proposed method is illustrated...

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Bibliographic Details
Published in:Journal of computational physics 1981-12, Vol.44, p.277-288
Main Authors: Delfour, M, tin, M, Payre, G
Format: Article
Language:English
Online Access:Get full text
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Summary:A Schroedinger equation with a power nonlinearity is solved using a finite-difference scheme which satisfies discrete analogs of the conservation laws. A special case of the equation considered is currently used to model the propagation of a laser beam in a plasma. The proposed method is illustrated by numerical results which concern in particular the formation and propagation of solitons in the one-dimensional case.
ISSN:0021-9991