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Original Articles

Highly accurate finite difference method for coupled nonlinear Schrödinger equation

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Pages 333-351 | Received 08 Aug 2003, Accepted 10 Dec 2003, Published online: 12 May 2010
 

Abstract

The coupled nonlinear Schrödinger equation models several interesting physical phenomena. It presents a model equation for optical fiber with linear birefringence. In this article, we write a finite difference scheme to solve this equation. The method is fourth-order in space and second-order in time. It is unconditionally stable and extrapolation is used in the temporal direction and this makes the method fourth-order in the two directions, space and time. Many numerical tests have been conducted to display the robustness of the scheme.

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