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.
| Original language | English |
|---|---|
| Article number | 113 |
| Journal | Journal of High Energy Physics |
| Volume | 2013 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 2013 |
Keywords
- Discrete and Finite Symmetries
- Integrable Equations in Physics
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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Galajinsky, A., & Lechtenfeld, O. (2013). On two-dimensional integrable models with a cubic or quartic integral of motion. Journal of High Energy Physics, 2013(9), [113]. https://doi.org/10.1007/JHEP09(2013)113