Recursion Operators and Tri-Hamiltonian Structure of the First Heavenly Equation of Plebański

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Authors: Sheftel, M.B., Yazıcı, D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147857
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Recursion Operators and Tri-Hamiltonian Structure of the First Heavenly Equation of Plebański / M.B. Sheftel, D. Yazıcı // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 34 назв. — англ.

We present first heavenly equation of Plebański in a two-component evolutionary form and obtain Lagrangian and Hamiltonian representations of this system. We study all point symmetries of the two-component system and, using the inverse Noether theorem in the Hamiltonian form, obtain all the integral...