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

authored by

Anton Galajinsky, Olaf Lechtenfeld

Abstract

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.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Tomsk Polytechnic University

Type

Artikel

Journal

Journal of high energy physics

Volume

2013

ISSN

1126-6708

Publication date

2013

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.1007/JHEP09(2013)113 (Access: Unbekannt)