Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation
| Parent link: | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA): Scientific Journal Vol. 1.— 2005.— [17 p.] |
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| 1. Verfasser: | |
| Weitere Verfasser: | , |
| Zusammenfassung: | Title screen The Gross–Pitaevskii equation with a local cubic nonlinearity that describes a many-dimensional system in an external field is considered in the framework of the complex WKB–Maslov method. Analytic asymptotic solutions are constructed in semiclassical approximation in a small parameter h, h-0, in the class of functions concentrated in the neighborhood of an unclosed surface associated with the phase curve that describes the evolution of surface vertex. The functions of this class are of the one-soliton form along the direction of the surface normal. The general constructions are illustrated by examples |
| Sprache: | Englisch |
| Veröffentlicht: |
2005
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| Schlagworte: | |
| Online-Zugang: | http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=sigma&paperid=19&option_lang=rus |
| Format: | Elektronisch Buchkapitel |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636513 |
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| 200 | 1 | |a Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation |f A. V. Borisov, A. V. Shapovalov, A. Yu. Trifonov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 33 tit.] | ||
| 330 | |a The Gross–Pitaevskii equation with a local cubic nonlinearity that describes a many-dimensional system in an external field is considered in the framework of the complex WKB–Maslov method. Analytic asymptotic solutions are constructed in semiclassical approximation in a small parameter h, h-0, in the class of functions concentrated in the neighborhood of an unclosed surface associated with the phase curve that describes the evolution of surface vertex. The functions of this class are of the one-soliton form along the direction of the surface normal. The general constructions are illustrated by examples | ||
| 461 | |t Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |o Scientific Journal | ||
| 463 | |t Vol. 1 |v [17 p.] |d 2005 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a WKB–Maslov complex germ method | |
| 610 | 1 | |a semiclassical asymptotics | |
| 610 | 1 | |a Gross–Pitaevskii equation | |
| 610 | 1 | |a solitons | |
| 610 | 1 | |a symmetry operators | |
| 700 | 1 | |a Borisov |b A. V. |c mathematician |c Associate Professor of Tomsk Polytechnic University, Candidate of physical and mathematical sciences |f 1980- |g Aleksey Vladimirovich |3 (RuTPU)RU\TPU\pers\31743 | |
| 701 | 1 | |a Shapovalov |b A. V. |c mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1949- |g Aleksandr Vasilyevich |3 (RuTPU)RU\TPU\pers\31734 | |
| 701 | 1 | |a Trifonov |b A. Yu. |c physicist, mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1963- |g Andrey Yurievich |3 (RuTPU)RU\TPU\pers\30754 | |
| 801 | 2 | |a RU |b 63413507 |c 20180306 |g RCR | |
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