A natural geometric construction underlying a class of Lax pairs
classification
🌊 nlin.SI
math.DG
keywords
citeconstructiongeometricpairsarisebaseclasscontaining
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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}.
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