The generalized centrally extended Lie algebraic structures and related integrable heavenly type equations

The generalized centrally extended Lie algebraic structures and related integrable heavenly type equations

There are studied Lie-algebraic structures of a wide class of heavenly type non-linear integrable equations, related with coadjoint flows on the adjoint space to a loop vector field Lie algebra on the torus. These flows are generated by the loop Lie algebras of vector fields on a torus and their coa...

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Bibliographic Details
Main Authors: O.Ye. Hentosh, A.A. Balinsky, A.K. Prykarpatski
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2020-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
heavenly type equations
lax integrability
hamiltonian system
torus diffeomorphisms
loop lie algebra
central extension
lie-algebraic scheme
casimir invariants
lie-poisson structure
r-structure
mikhalev-pavlov equations
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/3909

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https://journals.pnu.edu.ua/index.php/cmp/article/view/3909

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