Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions

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dc.contributor.authorAYDIN, Ayhan
dc.contributor.authorKARASÖZEN, Bülent
dc.date.accessioned2022-08-08T07:35:54Z
dc.date.available2022-08-08T07:35:54Z
dc.date.issued2007-05-18
dc.description.abstractWe consider for the integration of coupled nonlinear Schrödinger 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.
dc.identifier.urihttp://hdl.handle.net/20.500.11905/1512
dc.language.isoen
dc.publisherComputer Physics Communications
dc.subjectmathematics
dc.titleSymplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions
dc.typeArticle
dspace.entity.type

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