On two-dimensional integrable models with a cubic or quartic integral of motion
| Parent link: | Journal of High Energy Physics.— , 1997- № 9.— 2013.— [P. 113-125] |
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| 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 |
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2013
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| 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 |
| 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 |
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| DOI: | 10.1007/JHEP09(2013)113 |