Symmetry operators of a Hartree-type equation with quadratic potential; Siberian Mathematical Journal; Vol. 46, iss. 1
| Parent link: | Siberian Mathematical Journal: Scientific Journal Vol. 46, iss. 1.— 2005.— [P. 119-132] |
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| Glavni autor: | |
| Daljnji autori: | , |
| Sažetak: | Title screen We study the symmetry properties of a nonstationary one-dimensional Hartree-type equation with quadratic periodic potential and nonlocal nonlinearity. We find an explicit form of a nonlinear evolution operator for this equation and obtain a solution to a Cauchy problem in the class of semiclassically concentrated functions. We find parametric families of nonlinear symmetry operators of a Hartree-type equation (keeping invariant the set of solutions to this equation). Using the symmetry operators, we construct families of exact solutions to the equation. This approach constructively extends the ideas and methods of group analysis to the case of nonlinear integro-differential equations Режим доступа: по договору с организацией-держателем ресурса |
| Jezik: | engleski |
| Izdano: |
2005
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| Teme: | |
| Online pristup: | http://dx.doi.org/10.1007/s11202-005-0013-2 |
| Format: | MixedMaterials Elektronički Poglavlje knjige |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636515 |
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| 200 | 1 | |a Symmetry operators of a Hartree-type equation with quadratic potential |f A. L. Lisok, A. Yu. Trifonov, A. V. Shapovalov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 132 (23 tit.)] | ||
| 330 | |a We study the symmetry properties of a nonstationary one-dimensional Hartree-type equation with quadratic periodic potential and nonlocal nonlinearity. We find an explicit form of a nonlinear evolution operator for this equation and obtain a solution to a Cauchy problem in the class of semiclassically concentrated functions. We find parametric families of nonlinear symmetry operators of a Hartree-type equation (keeping invariant the set of solutions to this equation). Using the symmetry operators, we construct families of exact solutions to the equation. This approach constructively extends the ideas and methods of group analysis to the case of nonlinear integro-differential equations | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Siberian Mathematical Journal |o Scientific Journal | ||
| 463 | |t Vol. 46, iss. 1 |v [P. 119-132] |d 2005 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a nonlinear equations | |
| 610 | 1 | |a semiclassical asymptotics | |
| 610 | 1 | |a Hartree-type equation | |
| 610 | 1 | |a evolution operator | |
| 610 | 1 | |a symmetry operators | |
| 610 | 1 | |a semiclassical concentrated states | |
| 700 | 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 | 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 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 | |
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| 856 | 4 | |u http://dx.doi.org/10.1007/s11202-005-0013-2 | |
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