Soliton Resonances for the Mkp-Ii
| dc.contributor.author | Lee, Jiunhung | |
| dc.contributor.author | Pashaev, Oktay | |
| dc.coverage.doi | 10.1007/s11232-005-0127-5 | |
| dc.date.accessioned | 2016-07-28T13:41:42Z | |
| dc.date.available | 2016-07-28T13:41:42Z | |
| dc.date.issued | 2005 | |
| 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.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.doi | 10.1007/s11232-005-0127-5 | en_US |
| dc.identifier.doi | 10.1007/s11232-005-0127-5 | |
| dc.identifier.issn | 0040-5779 | |
| dc.identifier.issn | 1573-9333 | |
| dc.identifier.issn | 0040-5779 | |
| dc.identifier.scopus | 2-s2.0-23044464649 | |
| dc.identifier.uri | https://doi.org/10.1007/s11232-005-0127-5 | |
| dc.identifier.uri | https://hdl.handle.net/11147/2011 | |
| 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 |
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| gdc.author.institutional | Pashaev, Oktay | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 1003 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 995 | en_US |
| gdc.description.volume | 144 | en_US |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W1986721300 | |
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| gdc.oaire.keywords | High Energy Physics - Theory | |
| gdc.oaire.keywords | High Energy Physics - Theory (hep-th) | |
| gdc.oaire.keywords | Dissipative soliton | |
| gdc.oaire.keywords | Modified Kadomtsev-Petviashvili equation | |
| gdc.oaire.keywords | FOS: Physical sciences | |
| gdc.oaire.keywords | Derivative reaction-diffusion system | |
| gdc.oaire.keywords | Soliton resonance | |
| gdc.oaire.keywords | Hirota method | |
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