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періодичних видань НАН України
On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
Інший ID:
2000 Mathematics Subject Classification: 35A30; 35Q53; 35Q55; 35Q58
Посилання:
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.
Підтримка:
The author is grateful to the referees for useful comments and acknowledges the financial support from Istanbul Technical University (ITU).
Дата:
2006
Переглядів:
505
Завантажень:
206
Анотація:
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.
