Conservative finite difference schemes for the chiral nonlinear Schrödinger equation
Date
2015-08-08
Journal Title
Journal ISSN
Volume Title
Publisher
Boundary Value Problems
Abstract
In this paper, we derive three finite difference schemes for the chiral nonlinear
Schrödinger 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
Keywords
mathematics