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Collocation Method for Numerical Solution of Coupled Nonlinear Schrodinger Equation
Conference proceeding   Peer reviewed

Collocation Method for Numerical Solution of Coupled Nonlinear Schrodinger Equation

M. S. Ismail
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, Vol.1281, pp.1429-1432
AIP Conference Proceedings
01/01/2010
DOI: https://doi.org/10.1063/1.3498015

Abstract

Engineering Engineering, Multidisciplinary Mathematics Mathematics, Applied Physical Sciences Physics Physics, Applied Physics, Mathematical Physics, Multidisciplinary Science & Technology Technology
The coupled nonlinear Schrodinger equation models several interesting physical phenomena presents a model equation for optical fiber with linear birefringence. In this paper we use collocation method to solve this equation, we test this method for stability and accuracy. Numerical tests using single soliton and interaction of three solitons are used to test the resulting scheme.

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