On two-dimensional integrable models with a cubic or quartic integral of motion

On two-dimensional integrable models with a cubic or quartic integral of motion

Podrobná bibliografie
Parent link:Journal of High Energy Physics.— , 1997-
№ 9.— 2013.— [P. 113-125]
Hlavní autor: Galajinsky A. V. Anton Vladimirovich
Korporativní autor: Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ)
Další autoři: Lechtenfeld O. Olaf
Shrnutí:Title screen
Integrable two-dimensional models which possess an integral of motion cubic or quartic in velocities are governed by a single prepotential, which obeys a nonlinear partial differential equation. Taking into account the latter's invariance under continuous rescalings and a dihedral symmetry, we construct new integrable models with a cubic or quartic integral, each of which involves either one or two continuous parameters. A reducible case related to the two-dimensional wave equation is discussed as well. We conjecture a hidden D 2n dihedral symmetry for models with an integral of nth order in the velocities.
Режим доступа: по договору с организацией-держателем ресурса
Jazyk:angličtina
Vydáno: 2013
Témata:
электронный ресурс
труды учёных ТПУ
Integrable Equations in Physics
Discrete and Finite Symmetries
On-line přístup:http://dx.doi.org/10.1007/JHEP09(2013)113
Médium: Elektronický zdroj Kapitola
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=640353

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