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

Oksana E. Hentosh , Yarema A. Prykarpatskyy

Abstract

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
Vol6
Pages232-247
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
DOIDOI:10.1007/s40879-019-00329-4
URL https://link.springer.com/content/pdf/10.1007/s40879-019-00329-4.pdf
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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