Shock Waves, Chiral Solitons and Semiclassical Limit of One-Dimensional Anyons
| dc.contributor.author | Lee, Jyh Hao | |
| dc.contributor.author | Lin, Chi-Kun | |
| dc.contributor.author | Pashaev, Oktay | |
| dc.coverage.doi | 10.1016/S0960-0779(03)00084-5 | |
| dc.date.accessioned | 2016-07-12T12:56:05Z | |
| dc.date.available | 2016-07-12T12:56:05Z | |
| dc.date.issued | 2004 | |
| dc.description.abstract | This paper is devoted to the semiclassical limit of the one-dimensional Schrödinger equation with current nonlinearity and Sobolev regularity, before shocks appear in the limit system. In this limit, the modified Euler equations are recovered. The strictly hyperbolicity and genuine nonlinearity are proved for the limit system wherever the Riemann invariants remain distinct. The dispersionless equation and its deformation which is the quantum potential perturbation of JNLS equation are also derived. | en_US |
| dc.description.sponsorship | İYTE-2002-24 | en_US |
| dc.identifier.citation | Lee, J. H., Lin, C.-K., and Pashaev, O. (2004). Shock waves, chiral solitons and semiclassical limit of one-dimensional anyons. Chaos, Solitons and Fractals, 19(1), 109-128. doi:10.1016/S0960-0779(03)00084-5 | en_US |
| dc.identifier.doi | 10.1016/S0960-0779(03)00084-5 | en_US |
| dc.identifier.doi | 10.1016/S0960-0779(03)00084-5 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.scopus | 2-s2.0-0038788971 | |
| dc.identifier.uri | http://doi.org/10.1016/S0960-0779(03)00084-5 | |
| dc.identifier.uri | https://hdl.handle.net/11147/1891 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Ltd. | en_US |
| dc.relation.ispartof | Chaos, Solitons and Fractals | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Shock waves | en_US |
| dc.subject | Anyons | en_US |
| dc.subject | Deformation | en_US |
| dc.subject | Perturbation techniques | en_US |
| dc.title | Shock Waves, Chiral Solitons and Semiclassical Limit of One-Dimensional Anyons | en_US |
| dc.type | Article | 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 | 128 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 109 | en_US |
| gdc.description.volume | 19 | en_US |
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| gdc.oaire.keywords | Shock waves | |
| gdc.oaire.keywords | Perturbation techniques | |
| gdc.oaire.keywords | Anyons | |
| gdc.oaire.keywords | Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory | |
| gdc.oaire.keywords | Deformation | |
| gdc.oaire.keywords | PDEs in connection with quantum mechanics | |
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