Degenerate Four-Virtual Resonance for the Kp-Ii
| dc.contributor.author | Pashaev, Oktay | |
| dc.contributor.author | Francisco, Meltem L. Y. | |
| dc.coverage.doi | 10.1007/s11232-005-0130-x | |
| dc.date.accessioned | 2016-07-20T11:48:52Z | |
| dc.date.available | 2016-07-20T11:48:52Z | |
| dc.date.issued | 2005 | |
| dc.description.abstract | We propose a method for solving the (2+1)-dimensional Kadomtsev- Petviashvili equation with negative dispersion (KP-II) using the second and third members of the disipative version of the AKNS hierarchy. We show that dissipative solitons (dissipatons) of those members yield the planar solitons of the KP-II. From the Hirota bilinear form of the SL(2,ℝ) AKNS flows, we formulate a new bilinear representation for the KP-II, by which we construct one- and two-soliton solutions and study the resonance character of their mutual interactions. Using our bilinear form, for the first time, we create a four-virtual-soliton resonance solution of the KP-II, and we show that it can be obtained as a reduction of a four-soliton solution in the Hirota-Satsuma bilinear form for the KP-II | en_US |
| dc.description.sponsorship | İzmir Institute of Technology | en_US |
| dc.identifier.citation | Pashaev, O., and Francisco, M. L. Y. (2005). Degenerate four-virtual-soliton resonance for the KP-II. Theoretical and Mathematical Physics, 144(1), 1022-1029. doi:10.1007/s11232-005-0130-x | en_US |
| dc.identifier.doi | 10.1007/s11232-005-0130-x | en_US |
| dc.identifier.doi | 10.1007/s11232-005-0130-x | |
| dc.identifier.issn | 0040-5779 | |
| dc.identifier.issn | 1573-9333 | |
| dc.identifier.issn | 0040-5779 | |
| dc.identifier.scopus | 2-s2.0-23044454956 | |
| dc.identifier.uri | https://doi.org/10.1007/s11232-005-0130-x | |
| dc.identifier.uri | https://hdl.handle.net/11147/1940 | |
| 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 | Ablowitz-Kaup-Newell-Segur hierarchy | en_US |
| dc.subject | Dissipative soliton | en_US |
| dc.subject | Hirota method | en_US |
| dc.subject | Kadomtsev-Petviashvili equation | en_US |
| dc.subject | Reaction-diffusion system | en_US |
| dc.subject | Soliton resonance | en_US |
| dc.title | Degenerate Four-Virtual Resonance for the Kp-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 | 1029 | 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 | 1022 | en_US |
| gdc.description.volume | 144 | en_US |
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| gdc.oaire.keywords | Ablowitz-Kaup-Newell-Segur hierarchy | |
| gdc.oaire.keywords | Kadomtsev-Petviashvili equation | |
| gdc.oaire.keywords | High Energy Physics - Theory | |
| gdc.oaire.keywords | High Energy Physics - Theory (hep-th) | |
| gdc.oaire.keywords | Dissipative soliton | |
| gdc.oaire.keywords | FOS: Physical sciences | |
| gdc.oaire.keywords | Reaction-diffusion system | |
| gdc.oaire.keywords | Soliton resonance | |
| gdc.oaire.keywords | Hirota method | |
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