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dc.contributor.authorBruzón Gallego, María de los Santos
dc.contributor.authorGarrido, T.M.
dc.contributor.authorRecio, Elena
dc.contributor.authorde la Rosa, Rafael
dc.contributor.otherMatemáticases_ES
dc.date.accessioned2020-10-26T12:13:16Z
dc.date.available2020-10-26T12:13:16Z
dc.date.issued2020-08
dc.identifier.issn2073-8994
dc.identifier.urihttp://hdl.handle.net/10498/23806
dc.description.abstractIn this work, we study a generalised(2+1)equation of the Zakharov-Kuznetsov (ZK)(m,n,k)equation involving three arbitrary functions. From the point of view of the Lie symmetry theory, we have derived all Lie symmetries of this equation depending on the arbitrary functions. Line soliton solutions have also been obtained. Moreover, we study the low-order conservation laws by applying the multiplier method. This family of equations is rich in Lie symmetries and conservation laws. Finally, when the equation is expressed in potential form, it admits a variational structure in the case when two of the arbitrary functions are linear. In addition, the corresponding Hamiltonian formulation is presented.es_ES
dc.formatapplication/pdfes_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceSymmetry 2020, 12(8), 1277es_ES
dc.subjectZK equationses_ES
dc.subjectLie symmetrieses_ES
dc.subjectconservation lawses_ES
dc.titleLie Symmetries and Low-Order Conservation Laws of a Family of Zakharov-Kuznetsov Equations in 2 + 1 Dimensionses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.identifier.doi10.3390/sym12081277


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Atribución 4.0 Internacional
This work is under a Creative Commons License Atribución 4.0 Internacional