Symmetry operators of the two-component Gross—Pitaevskii equation with a Manakov-type nonlocal nonlinearity; Journal of Physics: Conference Series; Vol. 670, conf. 1 : XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23)
| Parent link: | Journal of Physics: Conference Series Vol. 670, conf. 1 : XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23).— 2016.— [13 p.] |
|---|---|
| Autor Principal: | |
| Corporate Authors: | , |
| Outros autores: | , |
| Summary: | Title screen We consider an integro-differential 2-component multidimensional Gross-Pitaevskii equation with a Manakov-type cubic nonlocal nonlinearity. In the framework of the WKB-Maslov semiclassical formalism, we obtain a semiclassically reduced 2-component nonlocal Gross- Pitaevskii equation determining the leading term of the semiclassical asymptotic solution. For the reduced Gross-Pitaevskii equation we construct symmetry operators which transform arbitrary solution of the equation into another solution. Constructing the symmetry operator is based on the Cauchy problem solution technique and uses an intertwining operator which connects two solutions of the reduced Gross-Pitaevskii equation. General structure of the symmetry operator is illustrated with a 1D case for which a family of symmetry operators is found explicitly and a set of exact solutions is generated. Режим доступа: по договору с организацией-держателем ресурса |
| Idioma: | inglés |
| Publicado: |
2016
|
| Subjects: | |
| Acceso en liña: | http://dx.doi.org/10.1088/1742-6596/670/1/012046 |
| Formato: | xMaterials Electrónico Capítulo de libro |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=647920 |
MARC
| LEADER | 00000naa2a2200000 4500 | ||
|---|---|---|---|
| 001 | 647920 | ||
| 005 | 20250623092054.0 | ||
| 035 | |a (RuTPU)RU\TPU\network\13077 | ||
| 035 | |a RU\TPU\network\12991 | ||
| 090 | |a 647920 | ||
| 100 | |a 20160427d2016 k||y0rusy50 ba | ||
| 101 | 0 | |a eng | |
| 135 | |a drcn ---uucaa | ||
| 181 | 0 | |a i | |
| 182 | 0 | |a b | |
| 200 | 1 | |a Symmetry operators of the two-component Gross—Pitaevskii equation with a Manakov-type nonlocal nonlinearity |f A. V. Shapovalov, A. Yu. Trifonov, A. L. Lisok | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 17 tit.] | ||
| 330 | |a We consider an integro-differential 2-component multidimensional Gross-Pitaevskii equation with a Manakov-type cubic nonlocal nonlinearity. In the framework of the WKB-Maslov semiclassical formalism, we obtain a semiclassically reduced 2-component nonlocal Gross- Pitaevskii equation determining the leading term of the semiclassical asymptotic solution. For the reduced Gross-Pitaevskii equation we construct symmetry operators which transform arbitrary solution of the equation into another solution. Constructing the symmetry operator is based on the Cauchy problem solution technique and uses an intertwining operator which connects two solutions of the reduced Gross-Pitaevskii equation. General structure of the symmetry operator is illustrated with a 1D case for which a family of symmetry operators is found explicitly and a set of exact solutions is generated. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | 1 | |0 (RuTPU)RU\TPU\network\3526 |t Journal of Physics: Conference Series | |
| 463 | 1 | |t Vol. 670, conf. 1 : XXIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-23) |o 23-27 June 2015, Prague, Czech Republic |v [13 p.] |d 2016 | |
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 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 | |
| 701 | 1 | |a Lisok |b A. L. |c physicist |c Associate Professor of Tomsk Polytechnic University, Candidate of physical and mathematical sciences |f 1981- |g Aleksandr Leonidovich |3 (RuTPU)RU\TPU\pers\31739 |9 15852 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет (ТПУ) |b Физико-технический институт (ФТИ) |b Кафедра высшей математики и математической физики (ВММФ) |3 (RuTPU)RU\TPU\col\18727 |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет (ТПУ) |b Физико-технический институт (ФТИ) |b Кафедра высшей математики и математической физики (ВММФ) |b Международная лаборатория математической физики (МЛМФ) |3 (RuTPU)RU\TPU\col\21297 |
| 801 | 2 | |a RU |b 63413507 |c 20160427 |g RCR | |
| 850 | |a 63413507 | ||
| 856 | 4 | |u http://dx.doi.org/10.1088/1742-6596/670/1/012046 | |
| 942 | |c CF | ||