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Group Classification of the System of Equations of Two-Dimensional Shallow Water over Uneven Bottom

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dc.contributor.authorDruzhkov, K. P.
dc.contributor.authorAksenov, A. V.
dc.contributor.authorАксенов, Александр Васильевич
dc.date.accessioned2024-11-27T07:37:32Z
dc.date.available2024-11-27T07:37:32Z
dc.date.issued2020
dc.description.abstract© 2020, Pleiades Publishing, Ltd.Abstract: A system of equations of two-dimensional shallow water over an uneven bottom is considered. An overdetermined system of equations for finding the corresponding symmetries is obtained. The compatibility of this overdetermined system of equations is investigated. A general form of the solution of the overdetermined system is found. The kernel of the symmetry operators is found. The cases of kernel extensions of symmetry operators are presented. The results of group classification indicate that the system of equations of two-dimensional shallow water over an uneven bottom cannot be linearized by point transformation, in contrast to the system of equations of one-dimensional shallow water in the cases of horizontal and inclined bottom profiles.
dc.format.extentС. 277-298
dc.identifier.citationDruzhkov, K. P. Group Classification of the System of Equations of Two-Dimensional Shallow Water over Uneven Bottom / Druzhkov, K.P., Aksenov, A.V. // Russian Journal of Mathematical Physics. - 2020. - 27. - № 3. - P. 277-298. - 10.1134/S1061920820030012
dc.identifier.doi10.1134/S1061920820030012
dc.identifier.urihttps://www.doi.org/10.1134/S1061920820030012
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85090125488&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000566445600001
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/22286
dc.relation.ispartofRussian Journal of Mathematical Physics
dc.titleGroup Classification of the System of Equations of Two-Dimensional Shallow Water over Uneven Bottom
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue3
oaire.citation.volume27
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