On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
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| Creator |
Güngör, F.
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| Description |
We discuss Lie algebras of the Lie symmetry groups of two generically non-integrable equations in one temporal and two space dimensions arising in different contexts. The first is a generalization of the KP equation and contains 9 arbitrary functions of one and two arguments. The second one is a system of PDEs that depend on some physical parameters. We require that these PDEs are invariant under a Kac-Moody-Virasoro algebra. This leads to several limitations on the coefficients (either functions or parameters) under which equations are prime candidates for being integrable.
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| Date |
2019-02-09T17:00:49Z
2019-02-09T17:00:49Z 2006 |
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| Type |
Article
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| Identifier |
On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations / F. Güngör // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 16 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 35A30; 35Q53; 35Q55; 35Q58 http://dspace.nbuv.gov.ua/handle/123456789/146434 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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