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| 100 | _a20140210a2005 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 102 | _aUS | ||
| 135 | _adrnn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aThe Nonlinear Schrodinger Equation for a Many-Dimensional System in an Oscillator Field _fA. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov |
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| 203 |
_aText _celectronic |
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| 300 | _aTitle screen | ||
| 320 | _a[References: p. 753 (15 tit.)] | ||
| 330 | _aThe method of semi-classical asymptotics is applied to a many-dimensional nonlinear Schrodinger equation with an external anisotropic oscillator field. Solutions asymptotic in a small parameter h, h - 0, are constructed in the class of functions localized in the neighborhood of an unclosed parabolic surface associated with the phase curve that describes the evolution of the vertex of this surface. In the normal direction to the surface, the functions have the form of the one-soliton solution of a one-dimensional nonlinear Schrodinger equation. The asymptotic evolution operator is considered accurate to O(h3/2), h - 0, in the specified class of solutions. The phenomenon of collapse is discussed | ||
| 333 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
| 461 |
_tRussian Physics Journal _oScientific Journal |
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| 463 |
_tVol. 48, iss. 7 _v[P. 746-753] _d2005 |
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| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 700 | 1 |
_aBorisov _bA. V. _cmathematician _cAssociate Professor of Tomsk Polytechnic University, Candidate of physical and mathematical sciences _f1980- _gAleksey Vladimirovich _2stltpush _3(RuTPU)RU\TPU\pers\31743 |
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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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| 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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| 801 | 2 |
_aRU _b63413507 _c20180306 _gRCR |
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| 856 | 4 | _uhttp://link.springer.com/article/10.1007/s11182-005-0196-9 | |
| 942 | _cCF | ||