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A natural geometric construction underlying a class of Lax pairs


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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].

Sobre autores

I. Krasil’shchik

Slezskáuniverzita v Opavě; Independent University of Moscow

Autor responsável pela correspondência
Email: josephkra@gmail.com
Tchéquia, Na Rybníčku 626/1, Opava, 746 01; B. Vlasyevskiy per. 11, Moscow, 119002

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