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https://hdl.handle.net/11147/2011
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Jiunhung | - |
dc.contributor.author | Pashaev, Oktay | - |
dc.date.accessioned | 2016-07-28T13:41:42Z | |
dc.date.available | 2016-07-28T13:41:42Z | |
dc.date.issued | 2005-07 | |
dc.identifier.citation | Lee, J., and Pashaev, O. (2005). Soliton resonances for the MKP-II. Theoretical and Mathematical Physics, 144(1), 995-1003. doi:10.1007/s11232-005-0127-5 | en_US |
dc.identifier.issn | 0040-5779 | |
dc.identifier.issn | 0040-5779 | - |
dc.identifier.issn | 1573-9333 | - |
dc.identifier.uri | https://doi.org/10.1007/s11232-005-0127-5 | |
dc.identifier.uri | http://hdl.handle.net/11147/2011 | |
dc.description.abstract | Using 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.iso | en | en_US |
dc.publisher | Pleiades Publishing | en_US |
dc.relation.ispartof | Theoretical and Mathematical Physics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Derivative reaction-diffusion system | en_US |
dc.subject | Dissipative soliton | en_US |
dc.subject | Hirota method | en_US |
dc.subject | Modified Kadomtsev-Petviashvili equation | en_US |
dc.subject | Soliton resonance | en_US |
dc.title | Soliton resonances for the MKP-II | en_US |
dc.type | Conference Object | en_US |
dc.authorid | TR57865 | en_US |
dc.institutionauthor | Pashaev, Oktay | - |
dc.department | İzmir Institute of Technology. Mathematics | en_US |
dc.identifier.volume | 144 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 995 | en_US |
dc.identifier.endpage | 1003 | en_US |
dc.identifier.wos | WOS:000231408800015 | en_US |
dc.identifier.scopus | 2-s2.0-23044464649 | en_US |
dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
dc.identifier.doi | 10.1007/s11232-005-0127-5 | - |
dc.relation.doi | 10.1007/s11232-005-0127-5 | en_US |
dc.coverage.doi | 10.1007/s11232-005-0127-5 | en_US |
dc.identifier.wosquality | Q3 | - |
dc.identifier.scopusquality | Q3 | - |
item.openairetype | Conference Object | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.fulltext | With Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.dept | 04.02. 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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