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Symplectic and multi-symplectic methods for coupled nonlinear Schrodinger equations with periodic solutions
Date
2007-10-01
Author
Aydin, A.
Karasoezen, B.
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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