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Multi-symplectic integration of coupled non-linear Schrodinger system with soliton solutions
Date
2009-01-01
Author
AYDIN, AYHAN
Karasözen, Bülent
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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Systems of coupled non-linear Schrodinger equations with soliton solutions are integrated using the six-point scheme which is equivalent to the multi-symplectic Preissman scheme. The numerical dispersion relations are studied for the linearized equation. Numerical results for elastic and inelastic soliton collisions are presented. Numerical experiments confirm the excellent conservation of energy, momentum and norm in long-term computations and their relations to the qualitative behaviour of the soliton solutions.
Subject Keywords
Coupled nonlinear Schrodinger equation
,
Solitons
,
Dispersion
,
Multi-symplectic methods
URI
https://hdl.handle.net/11511/32609
Journal
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
DOI
https://doi.org/10.1080/00207160701713615
Collections
Graduate School of Applied Mathematics, Article