Symplectic and multi-symplectic methods for coupled nonlinear Schrodinger equations with periodic solutions

Date

2007-10-01

Author

Aydin, A.
Karasoezen, B.

Metadata

Show full item record

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

Item Usage Stats

13
views

0
downloads

We consider for the integration of coupled nonlinear Schrodinger equations with periodic plane wave solutions a splitting method from the class of symplectic integrators and the multi-symplectic six-point scheme which is equivalent to the Preissman scheme. The numerical experiments show that both methods preserve very well the mass, energy and momentum in long-time evolution. The local errors in the energy are computed according to the discretizations in time and space for both methods. Due to its local nature, the multi-symplectic six-point scheme preserves the local invariants more accurately than the symplectic splitting method, but the global errors for conservation laws are almost the same.

Subject Keywords

Hardware and Architecture, General Physics and Astronomy

URI

https://hdl.handle.net/11511/65126

Journal

COMPUTER PHYSICS COMMUNICATIONS

DOI

https://doi.org/10.1016/j.cpc.2007.05.010

Collections

Department of Mathematics, Article

Citation Formats

A. Aydin and B. Karasoezen, “Symplectic and multi-symplectic methods for coupled nonlinear Schrodinger equations with periodic solutions,” COMPUTER PHYSICS COMMUNICATIONS, vol. 177, no. 7, pp. 566–583, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65126.