| 000 | 02161nab a2200361 c 4500 | ||
|---|---|---|---|
| 001 | vtls000795006 | ||
| 003 | RU-ToGU | ||
| 005 | 20220909133843.0 | ||
| 007 | cr | | ||
| 008 | 210310|2020 sz s a eng d | ||
| 024 | 7 |
_a10.3390/sym12020201 _2doi |
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| 035 | _ato000795006 | ||
| 040 |
_aRU-ToGU _brus _cRU-ToGU |
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| 100 | 1 |
_aShapovalov, Alexander V. _990375 |
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| 245 | 1 | 4 |
_aThe Gross-Pitaevskii equation with a nonlocal interaction in a semiclassical approximation on a curve _cA. V. Shapovalov, A. E. Kulagin, A. Yu. Trifonov |
| 336 | _aТекст | ||
| 337 | _aэлектронный | ||
| 504 | _aБиблиогр.: 56 назв. | ||
| 520 | 3 | _aWe propose an approach to constructing semiclassical solutions for the generalized multidimensional Gross–Pitaevskii equation with a nonlocal interaction term. The key property of the solutions is that they are concentrated on a one-dimensional manifold (curve) that evolves over time. The approach reduces the Cauchy problem for the nonlocal Gross–Pitaevskii equation to a similar problem for the associated linear equation. The geometric properties of the resulting solutions are related to Maslov’s complex germ, and the symmetry operators of the associated linear equation lead to the approximation of the symmetry operators for the nonlocal Gross–Pitaevskii equation. | |
| 653 | _aГросса-Питаевского уравнение | ||
| 653 | _aБозе-Эйнштейна конденсат | ||
| 653 | _aоператоры симметрии | ||
| 653 | _aнелокальное взаимодействие | ||
| 653 | _aполуклассическое приближение | ||
| 655 | 4 |
_aстатьи в журналах _9745982 |
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| 700 | 1 |
_aKulagin, Anton E. _9105236 |
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| 700 | 1 |
_aTrifonov, Andrey Yu. _d1963-2021 _994516 |
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| 773 | 0 |
_tSymmetry _d2020 _gVol. 12, № 2. P. 201 (1-25) _x2073-8994 |
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| 852 | 4 | _aRU-ToGU | |
| 856 | 4 | _uhttp://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000795006 | |
| 908 | _aстатья | ||
| 999 | _c479836 | ||