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dc.contributor.authorPashaev, Oktay
dc.contributor.authorLee, Jyh Hao
dc.date.accessioned2016-05-16T13:11:03Z
dc.date.available2016-05-16T13:11:03Z
dc.date.issued2002-07
dc.identifier.citationPashaev, O., and Lee, J. H. (2002). Black holes and solitons of the quantized dispersionless NLS and DNLS equations. ANZIAM Journal, 44(1), 73-81. doi:10.1017/S1446181100007926en_US
dc.identifier.issn1446-1811
dc.identifier.urihttp://doi.org/10.1017/S1446181100007926
dc.identifier.urihttp://hdl.handle.net/11147/4646
dc.description.abstractThe classical dynamics of non-relativistic particles are described by the Schrödinger wave equation, perturbed by quantum potential nonlinearity. Quantization of this dispersionless equation, implemented by deformation of the potential strength, recovers the standard Schrödinger equation. In addition, the classically forbidden region corresponds to the Planck constant analytically continued to pure imaginary, values. We apply the same procedure to the NLS and DNLS equations, constructing first the corresponding dispersionless limits and then adding quantum deformations. All these deformations admit the Lax representation as well as the Hirota bilinear form. In the classically forbidden region we find soliton resonances and black hole phenomena. For deformed DNLS the chiral solitons with single event horizon and resonance dynamics are constructed.en_US
dc.language.isoengen_US
dc.publisherCambridge University Pressen_US
dc.relation.isversionof10.1017/S1446181100007926en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSchrödinger equationen_US
dc.subjectDynamicsen_US
dc.subjectQuantum potentialen_US
dc.subjectHirota bilinear formen_US
dc.titleBlack holes and solitons of the quantized dispersionless NLS and DNLS equationsen_US
dc.typearticleen_US
dc.contributor.authorIDTR57865en_US
dc.contributor.institutionauthorPashaev, Oktay
dc.relation.journalANZIAM Journalen_US
dc.contributor.departmentIzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume44en_US
dc.identifier.issue1en_US
dc.identifier.startpage73en_US
dc.identifier.endpage81en_US
dc.identifier.wosWOS:000177234800009
dc.identifier.scopusSCOPUS:2-s2.0-0037770623
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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