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

Downloads

Download data is not yet available.

Most read articles by the same author(s)

<< < 1 2