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Dispersion Analysis of Multi-symplectic Scheme for the Nonlinear Schrödinger Equations

Dispersion Analysis of Multi-symplectic Scheme for the Nonlinear Schrödinger Equations In this paper, we study the dispersive properties of multi-symplectic discretizations for the nonlinear Schrödinger equations. The numerical dispersion relation and group velocity are investigated. It is found that the numerical dispersion relation is relevant when resolving the nonlinear Schrödinger equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Dispersion Analysis of Multi-symplectic Scheme for the Nonlinear Schrödinger Equations

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References (20)

Publisher
Springer Journals
Copyright
Copyright © The Editorial Office of AMAS & Springer-Verlag GmbH Germany 2020 2020
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-020-0933-4
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study the dispersive properties of multi-symplectic discretizations for the nonlinear Schrödinger equations. The numerical dispersion relation and group velocity are investigated. It is found that the numerical dispersion relation is relevant when resolving the nonlinear Schrödinger equations.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Mar 11, 2020

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