Finite Difference Solution Methods for a System of the Nonlinear Schrödinger Equations
Articles
A. Kurtinaitis
Vilnius University, Lithuania
F. Ivanauskas
Vilnius University; Institute of Mathematics and Informatics, Lithuania
Published 2004-07-25
https://doi.org/10.15388/NA.2004.9.3.15156
PDF

Keywords

finite-difference
scheme comparison
numerical simulation
nonlinear
Schrödinger equation
second harmonics generation

How to Cite

Kurtinaitis A. and Ivanauskas F. (2004) “Finite Difference Solution Methods for a System of the Nonlinear Schrödinger Equations”, Nonlinear Analysis: Modelling and Control, 9(3), pp. 247-258. doi: 10.15388/NA.2004.9.3.15156.

Abstract

This paper investigates finite difference schemes for solving a system of the nonlinear Schrödinger (NLS) equations. Several types of schemes, including explicit, implicit, Hopscotch-type and Crank-Nicholson-type are defined. Cubic spline interpolation is used for solving time-shifting part of equations. The numerical results of the different solution methods are compared using two analytical invariant properties.

PDF
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Please read the Copyright Notice in Journal Policy

Most read articles by the same author(s)

1 2 > >>