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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| Izvleček: | 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 |
| Jezik: | angleščina |
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2013
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| Teme: | |
| Online dostop: | http://dx.doi.org/10.1007/JHEP09(2013)113 |
| Format: | Elektronski Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=640353 |
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| 200 | 1 | |a On two-dimensional integrable models with a cubic or quartic integral of motion |f A. V. Galajinsky, O. Lechtenfeld | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 122-125 (35 tit.)] | ||
| 330 | |a 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. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Journal of High Energy Physics |d 1997- | ||
| 463 | |t № 9 |v [P. 113-125] |d 2013 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a Integrable Equations in Physics | |
| 610 | 1 | |a Discrete and Finite Symmetries | |
| 700 | 1 | |a Galajinsky |b A. V. |c Doctor of Physical and Mathematical Sciences, Tomsk Polytechnic University (TPU), Department of Higher Mathematics and Mathematical Physics of the Institute of Physics and Technology (HMMPD IPT) |c Professor of the TPU |f 1971- |g Anton Vladimirovich |3 (RuTPU)RU\TPU\pers\27878 |9 12894 | |
| 701 | 1 | |a Lechtenfeld |b O. |g Olaf | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет (ТПУ) |b Физико-технический институт (ФТИ) |b Кафедра высшей математики и математической физики (ВММФ) |3 (RuTPU)RU\TPU\col\18727 |
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| 856 | 4 | |u http://dx.doi.org/10.1007/JHEP09(2013)113 | |
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