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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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2006
Автор: Güngör, F.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2006
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/146434
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Güngör, F.
author_facet Güngör, F.
citation_txt 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.
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container_title Symmetry, Integrability and Geometry: Methods and Applications
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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publisher Інститут математики НАН України
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spelling Güngör, F.
2019-02-09T17:00:49Z
2019-02-09T17:00:49Z
2006
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
https://nasplib.isofts.kiev.ua/handle/123456789/146434
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.
The author is grateful to the referees for useful comments and acknowledges the financial support from Istanbul Technical University (ITU).
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
Article
published earlier
spellingShingle On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
Güngör, F.
title On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
title_full On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
title_fullStr On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
title_full_unstemmed On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
title_short On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
title_sort on the virasoro structure of symmetry algebras of nonlinear partial differential equations
url https://nasplib.isofts.kiev.ua/handle/123456789/146434
work_keys_str_mv AT gungorf onthevirasorostructureofsymmetryalgebrasofnonlinearpartialdifferentialequations