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| 101 | 0 | _aeng | |
| 102 | _aUS | ||
| 135 | _adrnn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aSymmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation _fA. L. Lisok, A. V. Shapovalov, A. Yu. Trifonov |
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| 203 |
_aText _celectronic |
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| 300 | _aTitle screen | ||
| 320 | _a[References: 34 tit.] | ||
| 330 | _aWe 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 | ||
| 463 |
_tArxiv.org _vMathematical Physics _d2013 |
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| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 700 | 1 |
_aLisok _bA. L. _cphysicist _cAssociate Professor of Tomsk Polytechnic University, Candidate of physical and mathematical sciences _f1981- _gAleksandr Leonidovich _2stltpush _3(RuTPU)RU\TPU\pers\31739 |
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| 701 | 1 |
_aShapovalov _bA. V. _cmathematician _cProfessor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1949- _gAleksandr Vasilyevich _2stltpush _3(RuTPU)RU\TPU\pers\31734 |
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| 701 | 1 |
_aTrifonov _bA. Yu. _cphysicist, mathematician _cProfessor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1963- _gAndrey Yurievich _2stltpush _3(RuTPU)RU\TPU\pers\30754 |
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| 801 | 2 |
_aRU _b63413507 _c20180306 _gRCR |
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| 856 | 4 | _uhttp://arxiv.org/abs/1302.3326 | |
| 942 | _cCF | ||