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

Bibliographic Details
Parent link:	Journal of High Energy Physics.— , 1997- № 9.— 2013.— [P. 113-125]
Main Author:	Galajinsky A. V. Anton Vladimirovich
Corporate Author:	Национальный исследовательский Томский политехнический университет (ТПУ) Физико-технический институт (ФТИ) Кафедра высшей математики и математической физики (ВММФ)
Other Authors:	Lechtenfeld O. Olaf
Summary:	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
Language:	English
Published:	2013
Subjects:	электронный ресурс труды учёных ТПУ Integrable Equations in Physics Discrete and Finite Symmetries
Online Access:	http://dx.doi.org/10.1007/JHEP09(2013)113
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=640353

Internet

http://dx.doi.org/10.1007/JHEP09(2013)113