Semiclassical Solutions of the Nonlinear Schrödinger Equation

Bibliographic Details
Parent link:	Journal of Nonlinear Mathematical Physics: Scientific Journal Vol. 6, iss. 2.— 1999.— [P. 127-138]
Main Author:	Shapovalov A. V. Aleksandr Vasilyevich
Other Authors:	Trifonov A. Yu. Andrey Yurievich
Summary:	Title screen A concept of semiclassically concentrated solutions is formulated for the multidimensional nonlinear Schrödinger equation (NLSE) with an external field. These solutions are considered as multidimensional solitary waves. The center of mass of such a solution is shown to move along with the bicharacteristics of the basic symbol of the corresponding linear Schrödinger equation. The leading term of the asymptotic WKBsolution is constructed for the multidimensional NLSE. Special cases are considered for the standard one-dimensional NLSE and for NLSE in cylindrical coordinates Режим доступа: по договору с организацией-держателем ресурса
Language:	English
Published:	1999
Subjects:	электронный ресурс труды учёных ТПУ
Online Access:	http://www.tandfonline.com/doi/abs/10.2991/jnmp.1999.6.2.2#.UwF6bWJ_vId
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636567

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