Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation; Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 1

Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation

Bibliographic Details
Parent link:Symmetry, Integrability and Geometry: Methods and Applications (SIGMA): Scientific Journal
Vol. 1.— 2005.— [17 p.]
Main Author: Borisov A. V. Aleksey Vladimirovich
Other Authors: Shapovalov A. V. Aleksandr Vasilyevich, Trifonov A. Yu. Andrey Yurievich
Summary:Title screen
The Gross–Pitaevskii equation with a local cubic nonlinearity that describes a many-dimensional system in an external field is considered in the framework of the complex WKB–Maslov method. Analytic asymptotic solutions are constructed in semiclassical approximation in a small parameter h, h-0, in the class of functions concentrated in the neighborhood of an unclosed surface associated with the phase curve that describes the evolution of surface vertex. The functions of this class are of the one-soliton form along the direction of the surface normal. The general constructions are illustrated by examples
Language:English
Published: 2005
Subjects:
электронный ресурс
труды учёных ТПУ
WKB–Maslov complex germ method
semiclassical asymptotics
Gross–Pitaevskii equation
solitons
symmetry operators
Online Access:http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=sigma&paperid=19&option_lang=rus
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636513

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