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 Schrödinge...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta Mathematicae Applicatae Sinica 2020-03, Vol.36 (2), p.503-515
Hauptverfasser: Li, Hao-chen, Sun, Jian-qiang, Ye, Hang, He, Xue-jun
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Dispersion
Electrons
Group velocity
Math Applications in Computer Science
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Nonlinear equations
Schrodinger equation
Theoretical
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-020-0933-4