Nonlocal hydrodynamic type of equations

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buir.contributor.authorGürses, Metin
dc.citation.volumeNumber85en_US
dc.contributor.authorGürses, Metin
dc.contributor.authorPekcan, A.
dc.contributor.authorZheltukhin, K.
dc.date.accessioned2021-02-20T14:50:56Z
dc.date.available2021-02-20T14:50:56Z
dc.date.issued2020-03-01
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe show that the integrable equations of hydrodynamic type admit nonlocal reductions. We first construct such reductions for a general Lax equation and then give several examples. The reduced nonlocal equations are of hydrodynamic type and integrable. They admit Lax representations and hence possess infinitely many conserved quantities.en_US
dc.embargo.release2022-03-01
dc.identifier.doi10.1016/j.cnsns.2020.105242en_US
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/11693/75508
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.cnsns.2020.105242en_US
dc.source.titleCommunications in Nonlinear Science and Numerical Simulationen_US
dc.subjectHydrodynamic equationsen_US
dc.subjectLax representationsen_US
dc.subjectConserved quantitiesen_US
dc.subjectNonlocal reductionsen_US
dc.titleNonlocal hydrodynamic type of equationsen_US
dc.typeArticleen_US
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