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|a 20140128d2013 k||y0rusy50 ba
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|a eng
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|a Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation
|f A. L. Lisok, A. V. Shapovalov, A. Yu. Trifonov
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| 203 |
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|a Text
|c electronic
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| 300 |
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|a Title screen
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|a [References: 34 tit.]
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|a We consider the symmetry properties of an integro-differential multidimensional Gross-Pitaevskii equation with a nonlocal nonlinear (cubic) term in the context of symmetry analysis using the formalism of semiclassical asymptotics. This yields a semiclassically reduced nonlocal Gross-Pitaevskii equation, which can be treated as a nearly linear equation, to determine the principal term of the semiclassical asymptotic solution. Our main result is an approach which allows one to construct a class of symmetry operators for the reduced Gross-Pitaevskii equation. These symmetry operators are determined by linear relations including intertwining operators and additional algebraic conditions. The basic ideas are illustrated with a 1D reduced Gross-Pitaevskii equation. The symmetry operators are found explicitly, and the corresponding families of exact solutions are obtained
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| 463 |
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|t Arxiv.org
|v Mathematical Physics
|d 2013
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| 610 |
1 |
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|a электронный ресурс
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| 610 |
1 |
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|a труды учёных ТПУ
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| 700 |
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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
|
| 701 |
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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
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| 801 |
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2 |
|a RU
|b 63413507
|c 20180306
|g RCR
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| 856 |
4 |
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|u http://arxiv.org/abs/1302.3326
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| 942 |
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|c CF
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