Study of Numerical FSAT Method to Propagation of Dark Solution
by
Mohsen Hatami
Department of Atomic and Molecular, Faculty of Physics, Yazd University
Coauthors: Alireza Keshavarz, Parviz Elahi

Study of numerical FSAT method to propagation of dark soliton

Mohsen Hatami(1), Alireza Keshavarz(2), Parviz Elahi(2)

(1)Department of Atomic and Molecular, Faculty of Physics, Yazd University,P.O. Box 89195-741, Yazd, Iran ( mhatami@yazduni.ac.ir )

(2)Department of Physics, Faculty of Science, Shiraz University of Technology, Shiraz, Iran, P.O. Box 313-71555, keshavarz@sutech.ac.ir, elahi@sutech.ac.ir

Abstract:

FSAT is a numerical method for solving partial differential nonlinear Schrödinger equation and equation similar to it. This method is based on discreet Fourier series and change the PDF to many coupled ODE. The couple ODE can be solved by RK4 or other method. This method is suitable for simulation of the bright and dark solitons, but in the case of dark soliton, the effect of Gibbs phenomena make some distortion on the propagation of pulse. We study the parameter such as number of Fourier width of pulse for reduction of distortion. The result shows however it possible that reduce the distortion but it is not completely drop the effect.

Date received: December 30, 2009