The Lax–Sato integrable heavenly equations on functional supermanifolds and their Lie-algebraic structure

Oksana E. Hentosh , Yarema A. Prykarpatskyy


A Lie-algebraic approach to constructing the Lax–Sato integrable superanalogs of heavenly equations by use of the loop Lie algebra of superconformal vector fields on a 1|N-dimensional supertorus is proposed. In the framework of this approach integrable superanalogs of the Mikhalev–Pavlov heavenly equation are obtained for all N∈N∖{4,5} as well as Shabat type reductions for all N∈N. The Lax–Sato integrable superanalogs of the generalized Liouville heavenly equations are found by means of the Lie algebra of holomorphic in “spectral” parameter superconformal vector fields on a 1|N-dimensional complex supertorus.
Author Oksana E. Hentosh - The NAS of Ukraine
Oksana E. Hentosh,,
, Yarema A. Prykarpatskyy (FoEEaLS / DoAM)
Yarema A. Prykarpatskyy,,
- Department of Applied Mathematics
Journal seriesEuropean Journal of Mathematics, ISSN 2199-675X, e-ISSN 2199-6768, (N/A 40 pkt)
Issue year2020
Publication size in sheets0.75
Keywords in EnglishHeavenly type equations, Lax–Sato integrability, Superconformal vector fields, Adler–Kostant–Symes theory, Casimir invariants
ASJC Classification2600 General Mathematics
Languageen angielski
Score (nominal)40
Score sourcejournalList
Publication indicators WoS Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.891
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