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Kinks in the relativistic model with logarithmic nonlinearity

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dc.contributor.authorZloshchastiev, K. G.
dc.contributor.authorBelendryasova, E.
dc.contributor.authorGani, V. A.
dc.contributor.authorГани, Вахид Абдулович
dc.date.accessioned2024-11-21T17:17:06Z
dc.date.available2024-11-21T17:17:06Z
dc.date.issued2019
dc.description.abstract© Published under licence by IOP Publishing Ltd.We study the properties of a relativistic model with logarithmic nonlinearity. We show that such model allows two types of solutions: Topologically trivial (gaussons) and topologically non-trivial (kinks), depending on a sign of the nonlinear coupling. We focus primarily on the kinks' case and study their scattering properties. For the kink-antikink scattering, we have found a critical value of the initial velocity, which separates two different scenarios of scattering. For the initial velocities below this critical value, the kinks form a bound state, which then decays slowly. If the initial velocities are above the critical value, the kinks collide, bounce and eventually escape to infinities. During this process, the higher initial velocity is, the greater is the elasticity of the collision. We also study excitation spectrum of the kink solution.
dc.identifier.citationZloshchastiev, K. G. Kinks in the relativistic model with logarithmic nonlinearity / Zloshchastiev, K.G., Belendryasova, E., Gani, V.A. // Journal of Physics: Conference Series. - 2019. - 1390. - № 1. - 10.1088/1742-6596/1390/1/012082
dc.identifier.doi10.1088/1742-6596/1390/1/012082
dc.identifier.urihttps://www.doi.org/10.1088/1742-6596/1390/1/012082
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85077817815&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000520000100082
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/19318
dc.relation.ispartofJournal of Physics: Conference Series
dc.titleKinks in the relativistic model with logarithmic nonlinearity
dc.typeConference Paper
dspace.entity.typePublication
oaire.citation.issue1
oaire.citation.volume1390
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relation.isAuthorOfPublication.latestForDiscovery3af66a9a-639f-4843-aa2c-2d3c8219e8bd
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