Symplectic and Multi-Symplectic Methods for Coupled Nonlinear Schrodinger Equations With Periodic Solutions

dc.authorid Karasozen, Bulent/0000-0003-1037-5431
dc.authorscopusid 20435628400
dc.authorscopusid 6603369633
dc.authorwosid Aydin, Ayhan/AAL-5690-2020
dc.contributor.author Aydin, A.
dc.contributor.author Karasoezen, B.
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T14:33:05Z
dc.date.available 2024-07-05T14:33:05Z
dc.date.issued 2007
dc.department Atılım University en_US
dc.department-temp Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey; Middle E Tech Univ, Inst Appl Math, TR-06531 Ankara, Turkey; Atilim Univ, Dept Math, TR-06836 Ankara, Turkey en_US
dc.description Karasozen, Bulent/0000-0003-1037-5431 en_US
dc.description.abstract We consider for the integration of coupled nonlinear Schrodinger 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. (C) 2007 Elsevier B.V. All rights reserved. en_US
dc.identifier.citationcount 40
dc.identifier.doi 10.1016/j.cpc.2007.05.010
dc.identifier.endpage 583 en_US
dc.identifier.issn 0010-4655
dc.identifier.issn 1879-2944
dc.identifier.issue 7 en_US
dc.identifier.scopus 2-s2.0-34548321103
dc.identifier.startpage 566 en_US
dc.identifier.uri https://doi.org/10.1016/j.cpc.2007.05.010
dc.identifier.uri https://hdl.handle.net/20.500.14411/879
dc.identifier.volume 177 en_US
dc.identifier.wos WOS:000250166700003
dc.identifier.wosquality Q1
dc.institutionauthor Aydın, Ayhan
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 44
dc.subject coupled nonlinear Schrodinger equation en_US
dc.subject periodic waves en_US
dc.subject symplectic and multi-symplectic methods en_US
dc.subject splitting en_US
dc.title Symplectic and Multi-Symplectic Methods for Coupled Nonlinear Schrodinger Equations With Periodic Solutions en_US
dc.type Article en_US
dc.wos.citedbyCount 39
dspace.entity.type Publication
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