Recursions of Symmetry Orbits and Reduction without Reduction

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• ISSN: 1815-0659
• Main Authors: Malykh, A.A., Sheftel, M.B.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146860
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Recursions of Symmetry Orbits and Reduction without Reduction / M.B. Sheftel, A.A. Malykh // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 14 назв. — англ.

We consider a four-dimensional PDE possessing partner symmetries mainly on the example of complex Monge-Ampère equation (CMA). We use simultaneously two pairs of symmetries related by a recursion relation, which are mutually complex conjugate for CMA. For both pairs of partner symmetries, using Lie...