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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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

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Citation Formats

A. AYDIN and B. Karasözen, “Multi-symplectic integration of coupled non-linear Schrodinger system with soliton solutions,” INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, pp. 864–882, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32609.