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dc.contributor.author |
Güngör, F. |
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dc.date.accessioned |
2019-02-09T17:00:49Z |
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dc.date.available |
2019-02-09T17:00:49Z |
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dc.date.issued |
2006 |
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dc.identifier.citation |
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. |
uk_UA |
dc.identifier.issn |
1815-0659 |
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dc.identifier.other |
2000 Mathematics Subject Classification: 35A30; 35Q53; 35Q55; 35Q58 |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/146434 |
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dc.description.abstract |
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. |
uk_UA |
dc.description.sponsorship |
The author is grateful to the referees for useful comments and acknowledges the financial support from Istanbul Technical University (ITU). |
uk_UA |
dc.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Symmetry, Integrability and Geometry: Methods and Applications |
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dc.title |
On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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