Conservative finite difference schemes for the chiral nonlinear Schrodinger equation
No Thumbnail Available
Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
Springer international Publishing Ag
Abstract
In this paper, we derive three finite difference schemes for the chiral nonlinear Schrodinger equation (CNLS). The CNLS equation has two kinds of progressive wave solutions: bright and dark soliton. The proposed methods are implicit, unconditionally stable and of second order in space and time directions. The exact solutions and the conserved quantities are used to assess the efficiency of these methods. Numerical simulations of single bright and dark solitons are given. The interactions of two bright solitons are also displayed.
Description
Mahmoud, Samy Refahy/0000-0002-7008-1366;
Keywords
[No Keyword Available]
Turkish CoHE Thesis Center URL
Citation
9
WoS Q
Q1