Semiclassical trajectory-coherent states of the nonlinear Schrodinger equation with unitary nonlinearity; Russian Physics Journal; Vol. 42, iss. 7
| Parent link: | Russian Physics Journal: Scientific Journal Vol. 42, iss. 7.— 1999.— [P. 598-606] |
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| Weitere Verfasser: | , , , |
| Zusammenfassung: | Title screen Semiclassically concentrated states of the nonlinear Schrodinger equation (NLSE) with unitary nonlinearity, representing multidimensional localized wave packets, are constructed on the basis of the Maslov complex germ theory. A system of ordinary differential equations of Hamilton-Ehrenfest (HE) type, describing the motion of the wave packet centroid, is derived. The structure of the HE system is strongly influenced by the initial conditions of the Cauchy problem for the NLSE. Wave packets of Gaussian type are constructed in an explicit form. Possible use of the solutions constructed in the problem of optical pulse propagation in a nonlinear medium with nonstationary dispersion is discussed Режим доступа: по договору с организацией-держателем ресурса |
| Sprache: | Englisch |
| Veröffentlicht: |
1999
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| Schlagworte: | |
| Online-Zugang: | http://link.springer.com/article/10.1007/BF02513223 |
| Format: | Elektronisch Buchkapitel |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636571 |
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| 200 | 1 | |a Semiclassical trajectory-coherent states of the nonlinear Schrodinger equation with unitary nonlinearity |f O. V. Zhdaneev [et al.] | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 606 (16 tit.)] | ||
| 330 | |a Semiclassically concentrated states of the nonlinear Schrodinger equation (NLSE) with unitary nonlinearity, representing multidimensional localized wave packets, are constructed on the basis of the Maslov complex germ theory. A system of ordinary differential equations of Hamilton-Ehrenfest (HE) type, describing the motion of the wave packet centroid, is derived. The structure of the HE system is strongly influenced by the initial conditions of the Cauchy problem for the NLSE. Wave packets of Gaussian type are constructed in an explicit form. Possible use of the solutions constructed in the problem of optical pulse propagation in a nonlinear medium with nonstationary dispersion is discussed | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Russian Physics Journal |o Scientific Journal | ||
| 463 | |t Vol. 42, iss. 7 |v [P. 598-606] |d 1999 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 701 | 1 | |a Zhdaneev |b O. V. | |
| 701 | 1 | |a Serezhnikov |b G. N. | |
| 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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