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A natural geometric construction underlying a class of Lax pairs (1401.0612v1)
Published 3 Jan 2014 in nlin.SI and math.DG
Abstract: In the framework of the theory of differential coverings \cite{KV}, we discuss a general geometric construction that serves the base for the so-called Lax pairs containing differentiation with respect to the spectral parameter \cite{OS}. Such kind of objects arise, for example, when studying integrability properties of equations like the Gibbons-Tsarev one \cite{GT}.