Exact soliton-like solutions of the radial Gross-Pitaevskii equation

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dc.contributor.authorToikka LA
dc.contributor.authorHietarinta J
dc.contributor.authorSuominen KA
dc.contributor.organizationfi=kvanttioptiikan laboratorio|en=Laboratory of Quantum Optics|
dc.contributor.organizationfi=teoreettisen fysiikan laboratorio|en=Laboratory of Theoretical Physics|
dc.contributor.organization-code1.2.246.10.2458963.20.14547848953
dc.contributor.organization-code1.2.246.10.2458963.20.63398691327
dc.contributor.organization-code2606703
dc.converis.publication-id1343710
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/1343710
dc.date.accessioned2022-02-25T16:09:07Z
dc.date.available2022-02-25T16:09:07Z
dc.description.abstract<p> We construct exact ring soliton-like solutions of the cylindrically symmetric (i.e. radial) Gross-Pitaevskii equation with a potential, using the similarity transformation method. Depending on the choice of the allowed free functions, the solutions can take the form of stationary dark or bright rings whose time dependence is in the phase dynamics only, or oscillating and bouncing solutions, related to the second Painleve transcendent. In each case the potential can be chosen to be time independent.</p>
dc.identifier.jour-issn1751-8113
dc.identifier.olddbid170234
dc.identifier.oldhandle10024/153344
dc.identifier.urihttps://www.utupub.fi/handle/11111/29291
dc.identifier.urnURN:NBN:fi-fe2020120299162
dc.language.isoen
dc.okm.affiliatedauthorHietarinta, Jarmo
dc.okm.affiliatedauthorSuominen, Kalle-Antti
dc.okm.affiliatedauthorToikka, Lauri
dc.okm.discipline114 Physical sciencesen_GB
dc.okm.discipline114 Fysiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherIOP PUBLISHING LTD
dc.publisher.countryUnited Kingdomen_GB
dc.publisher.countryBritanniafi_FI
dc.publisher.country-codeGB
dc.relation.articlenumber485203
dc.relation.doi10.1088/1751-8113/45/48/485203
dc.relation.ispartofjournalJournal of Physics A: Mathematical and Theoretical
dc.relation.issue48
dc.relation.volume45
dc.source.identifierhttps://www.utupub.fi/handle/10024/153344
dc.titleExact soliton-like solutions of the radial Gross-Pitaevskii equation
dc.year.issued2012

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