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On two-dimensional integrable models with a cubic or quartic integral of motion
2013
Journal of High Energy Physics
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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
doi:10.1007/jhep09(2013)113
fatcat:syhmp3d6dbexxpc5nkyvdhj6ra