Symplectic and multisymplectic Lobatto methods for the "good" Boussinesq equation

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 2024-07-05T14:34:20Z
dc.date.available 2024-07-05T14:34:20Z
dc.date.issued 2008
dc.department Atılım University en_US
dc.department-temp [Karasoezen, B.] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey; [Aydin, A.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Karasoezen, B.] Middle E Tech Univ, Inst Appl Math, TR-06531 Ankara, Turkey en_US
dc.description Karasozen, Bulent/0000-0003-1037-5431 en_US
dc.description.abstract In this paper, we construct second order symplectic and multisymplectic integrators for the "good" Boussineq equation using the two-stage Lobatto IIIA-IIIB partitioned Runge-Kutta method, which yield an explicit scheme and is equivalent to the classical central difference approximation to the second order spatial derivative. Numerical dispersion properties and the stability of both integrators are investigated. Numerical results for different solitary wave solutions confirm the excellent long time behavior of symplectic and multisymplectic integrators by preservink local and global energy and momentum. (C) 2008 American Institute of Physics. en_US
dc.identifier.citationcount 23
dc.identifier.doi 10.1063/1.2970148
dc.identifier.issn 0022-2488
dc.identifier.issn 1089-7658
dc.identifier.issue 8 en_US
dc.identifier.scopus 2-s2.0-50849138837
dc.identifier.uri https://doi.org/10.1063/1.2970148
dc.identifier.uri https://hdl.handle.net/20.500.14411/1045
dc.identifier.volume 49 en_US
dc.identifier.wos WOS:000259542600020
dc.identifier.wosquality Q3
dc.institutionauthor Aydın, Ayhan
dc.language.iso en en_US
dc.publisher Amer inst Physics 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 23
dc.subject [No Keyword Available] en_US
dc.title Symplectic and multisymplectic Lobatto methods for the "good" Boussinesq equation en_US
dc.type Article en_US
dc.wos.citedbyCount 23
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery 51e6d006-8fef-4668-ab1b-0e945155d8ae
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relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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