Reducibility of zero curvature representations with application to recursion operators
Exactly Solvable and Integrable Systems
2024-03-21 v1
Abstract
We present a criterion of reducibility of a zero curvature representation to a solvable subalgebra, hence to a chain of conservation laws. Namely, we show that reducibility is equivalent to the existence of a section of the generalized Riccati covering. Results are applied to conversion between Guthrie's and Olver's form of recursion operators.
Cite
@article{arxiv.nlin/0306006,
title = {Reducibility of zero curvature representations with application to recursion operators},
author = {Michal Marvan},
journal= {arXiv preprint arXiv:nlin/0306006},
year = {2024}
}
Comments
26 pages, uses nath.sty