A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation

Authors:
M. S. Ismail;Thiab R. Taha
Affiliations:
Department of Mathematics, College of Science, P.O. Box 80203, King Abdulaziz University, Jeddah 21589, Saudi Arabia;Department of Computer Science, University of Georgia, Athens, GA 30602-7404, USA
Venue:
Mathematics and Computers in Simulation
Year:
2007

Citing 2
Cited 8

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Abstract

The coupled nonlinear Schrodinger equation models several intersting physical phenomena. It presents a model equation for optical fiber with linear birefringence. In this paper, we present a linearly implicit conservative method to solve this equation. This method is second order accurate in space and time and conserves the energy exactly. Many numerical experiments have been conducted and have shown that this method is quite accurate and describe the interaction picture clearly.