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On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations

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dc.contributor.author Güngör, F.
dc.date.accessioned 2019-02-09T17:00:49Z
dc.date.available 2019-02-09T17:00:49Z
dc.date.issued 2006
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
dc.identifier.other 2000 Mathematics Subject Classification: 35A30; 35Q53; 35Q55; 35Q58
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/146434
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
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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