Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2011
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dc.contributor.authorLee, Jiunhung-
dc.contributor.authorPashaev, Oktay-
dc.date.accessioned2016-07-28T13:41:42Z
dc.date.available2016-07-28T13:41:42Z
dc.date.issued2005-07
dc.identifier.citationLee, J., and Pashaev, O. (2005). Soliton resonances for the MKP-II. Theoretical and Mathematical Physics, 144(1), 995-1003. doi:10.1007/s11232-005-0127-5en_US
dc.identifier.issn0040-5779
dc.identifier.issn0040-5779-
dc.identifier.issn1573-9333-
dc.identifier.urihttps://doi.org/10.1007/s11232-005-0127-5
dc.identifier.urihttp://hdl.handle.net/11147/2011
dc.description.abstractUsing the second flow (derivative reaction-diffusion system) and the third one of the dissipative SL(2, ℝ) Kaup-Newell hierarchy, we show that the product of two functions satisfying those systems is a solution of the modified Kadomtsev-Petviashvili equation in 2+1 dimensions with negative dispersion (MKP-II). We construct Hirota's bilinear representations for both flows and combine them as the bilinear system for the MKP-II. Using this bilinear form, we find one- and two-soliton solutions for the MKP-II. For special values of the parameters, our solution shows resonance behavior with the creation of four virtual solitons. Our approach allows interpreting the resonance soliton as a composite object of two dissipative solitons in 1+1 dimensions.en_US
dc.language.isoenen_US
dc.publisherPleiades Publishingen_US
dc.relation.ispartofTheoretical and Mathematical Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDerivative reaction-diffusion systemen_US
dc.subjectDissipative solitonen_US
dc.subjectHirota methoden_US
dc.subjectModified Kadomtsev-Petviashvili equationen_US
dc.subjectSoliton resonanceen_US
dc.titleSoliton resonances for the MKP-IIen_US
dc.typeConference Objecten_US
dc.authoridTR57865en_US
dc.institutionauthorPashaev, Oktay-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume144en_US
dc.identifier.issue1en_US
dc.identifier.startpage995en_US
dc.identifier.endpage1003en_US
dc.identifier.wosWOS:000231408800015en_US
dc.identifier.scopus2-s2.0-23044464649en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1007/s11232-005-0127-5-
dc.relation.doi10.1007/s11232-005-0127-5en_US
dc.coverage.doi10.1007/s11232-005-0127-5en_US
dc.identifier.wosqualityQ3-
dc.identifier.scopusqualityQ3-
item.openairetypeConference Object-
item.grantfulltextopen-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.fulltextWith Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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