Semiclassical trajectory-coherent states of the nonlinear Schrodinger equation with unitary nonlinearity
| Parent link: | Russian Physics Journal: Scientific Journal Vol. 42, iss. 7.— 1999.— [P. 598-606] |
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| Další autoři: | , , , |
| Shrnutí: | 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 |
| Jazyk: | angličtina |
| Vydáno: |
1999
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| Témata: | |
| On-line přístup: | http://link.springer.com/article/10.1007/BF02513223 |
| Médium: | Elektronický zdroj Kapitola |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636571 |
| Shrnutí: | 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 |
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