Email this article A natural geometric construction underlying a class of Lax pairs
- Authors: Krasil’shchik I.S.1,2
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Affiliations:
- Slezskáuniverzita v Opavě
- Independent University of Moscow
- Issue: Vol 37, No 1 (2016)
- Pages: 60-65
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197309
- DOI: https://doi.org/10.1134/S1995080216010054
- ID: 197309
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Abstract
In the framework of the theory of differential coverings [2], we discuss a general geometric construction that serves the base for the so-called Lax pairs containing differentiation with respect to the spectral parameter [4]. Such kind of objects arise, for example, when studying integrability properties of equations like the Gibbons–Tsarev one [1].
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About the authors
I. S. Krasil’shchik
Slezskáuniverzita v Opavě; Independent University of Moscow
Author for correspondence.
Email: josephkra@gmail.com
Czech Republic, Na Rybníčku 626/1, Opava, 746 01; B. Vlasyevskiy per. 11, Moscow, 119002
