Multi-symplectic integration of coupled non-linear Schrödinger system with soliton solutions

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Date
2009-04-23
Authors
AYDIN, Ayhan
KARASÖZEN, Bülent
Journal Title
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Publisher
International Journal of Computer Mathematics
Abstract
Systems of coupled non-linear Schrödinger 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.
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mathematics
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