A natural geometric construction underlying a class of Lax pairs
Exactly Solvable and Integrable Systems
2014-01-06 v1 Differential Geometry
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}.
Keywords
Cite
@article{arxiv.1401.0612,
title = {A natural geometric construction underlying a class of Lax pairs},
author = {Joseph Krasil'shchik},
journal= {arXiv preprint arXiv:1401.0612},
year = {2014}
}