A natural geometric construction underlying a class of Lax pairs
Abstract
In the framework of the theory of differential coverings 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 OS. Such kind of objects arise, for example, when studying integrability properties of equations like the Gibbons-Tsarev one GT.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.