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On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
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 sys...
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Main Author: | |
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Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2006
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146434 |
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Summary: | 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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