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

BROWSE_DETAIL_CREATION_DATE: 11-08-2015

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BROWSE_DETAIL_TYPE: Article

BROWSE_DETAIL_PUBLISH_STATE: Published

BROWSE_DETAIL_FORMAT: No File

BROWSE_DETAIL_LANG: English

BROWSE_DETAIL_SUBJECTS: SCIENCE, Mathematics,

BROWSE_DETAIL_CREATORS: Aydin , Ayhan (Author), Karasözen, Bülent (Author),

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coupled nonlinear Schrödinger equation; solitons; dispersion; multi-symplectic methods


BROWSE_DETAIL_TAB_ABSTRACT

Systems of coupled non-linear Schrödinger equations with soliton solutions are integrated using the sixpoint 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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Publisher: Taylor & Francis


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