Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/13207
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dc.contributor.authorKUTAFINA, Ekaterina-
dc.contributor.authorVladimirov, V.A.-
dc.contributor.authorZorychta, B.-
dc.date.accessioned2012-02-27T09:06:53Z-
dc.date.available2012-02-27T09:06:53Z-
dc.date.issued2012-
dc.identifier.citationJournal of Physics A-Mathematical and Theoretical, 45 (8), (ART N° 085210)-
dc.identifier.issn1751-8113-
dc.identifier.urihttp://hdl.handle.net/1942/13207-
dc.description.abstractWe consider a hydrodynamic system of balance equations for mass and momentum. This system is closed by the dynamic equation of state, taking into account the effects of spatio-temporal non-localities. Using group theory reduction, we obtain a system of ODEs, describing a set of approximate traveling wave solutions to the source system. The factorized system, containing a small parameter, proves to be Hamiltonian when the parameter is zero. Using Melnikov's method, we show that the factorized system possesses, in general, a one-parameter family of homoclinic loops, corresponding to the approximate soliton-like solutions of the source system.-
dc.description.sponsorshipThe presented research was partially supported by the Polish Ministry of Science and Higher Education. The authors wish to express their gratitude to the anonymous referees, whose remarks contributed to the improvement of the presentation of this work.-
dc.language.isoen-
dc.publisherIOP Publishing Ltd-
dc.rights2012 IOP Publishing Ltd-
dc.titleOn the non-local hydrodynamic-type system and its soliton-like solution-
dc.typeJournal Contribution-
dc.identifier.issue8-
dc.identifier.volume45-
local.format.pages12-
local.bibliographicCitation.jcatA1-
local.publisher.placeTEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.bibliographicCitation.oldjcatA1-
local.bibliographicCitation.artnr085210-
dc.identifier.doi10.1088/1751-8113/45/8/085210-
dc.identifier.isi000300606900012-
local.uhasselt.internationalno-
item.fullcitationKUTAFINA, Ekaterina; Vladimirov, V.A. & Zorychta, B. (2012) On the non-local hydrodynamic-type system and its soliton-like solution. In: Journal of Physics A-Mathematical and Theoretical, 45 (8), (ART N° 085210).-
item.accessRightsRestricted Access-
item.contributorKUTAFINA, Ekaterina-
item.contributorVladimirov, V.A.-
item.contributorZorychta, B.-
item.fulltextWith Fulltext-
crisitem.journal.issn1751-8113-
crisitem.journal.eissn1751-8121-
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