Numerical simulation of coupled nonlinear Schrodinger equation

Authors
Ismail, MS Taha, TR
Citation
Ms. Ismail et Tr. Taha, Numerical simulation of coupled nonlinear Schrodinger equation, MATH COMP S, 56(6), 2001, pp. 547-562
Citations number
7
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN journal
03784754 → ACNP
Volume
56
Issue
6
Year of publication
2001
Pages
547 - 562
Database
ISI
SICI code
0378-4754(20010709)56:6<547:NSOCNS>2.0.ZU;2-G
Abstract
The coupled nonlinear Schrodinger equation models several interesting physi cal phenomena. It represents a model equation for optical fiber with linear birefringence. In this paper we introduce a finite difference method for a numerical simulation of this equation. This method is second-order in spac e and conserves the energy exactly. It is quite accurate and describes the interaction picture clearly according to our numerical results. (C) 2001 IM ACS. Published by Elsevier Science B.V. All rights reserved.