A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation

M.S. Ismail and Thiab R. Taha

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 74, issue 4, 302-311

Abstract: The coupled nonlinear Schrödinger 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.

Keywords: Coupled nonlinear Shrödinger equation; Linearly implicit scheme; Finite difference method; Solitons (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:74:y:2007:i:4:p:302-311

DOI: 10.1016/j.matcom.2006.10.020

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