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

التفاصيل البيبلوغرافية
Parent link:	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA): Scientific Journal Vol. 1.— 2005.— [17 p.]
المؤلف الرئيسي:	Borisov A. V. Aleksey Vladimirovich
مؤلفون آخرون:	Shapovalov A. V. Aleksandr Vasilyevich, Trifonov A. Yu. Andrey Yurievich
الملخص:	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
اللغة:	الإنجليزية
منشور في:	2005
الموضوعات:	электронный ресурс труды учёных ТПУ WKB–Maslov complex germ method semiclassical asymptotics Gross–Pitaevskii equation solitons symmetry operators
الوصول للمادة أونلاين:	http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=sigma&paperid=19&option_lang=rus
التنسيق:	الكتروني فصل الكتاب
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636513

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