Recursion operators in the cotangent covering of the rdDym equation
Exactly Solvable and Integrable Systems
2021-06-15 v1 Mathematical Physics
math.MP
Abstract
We describe a general method of constructing nonlocal recursion operators for symmetries of PDEs. As an example, the cotangent equation to the 3D rdDym equation for which two mutually inverse operators are found. The exposition includes a rigorous criterion to check the hereditary property.
Keywords
Cite
@article{arxiv.2106.06763,
title = {Recursion operators in the cotangent covering of the rdDym equation},
author = {I. S. Krasil'shchik and A. M. Verbovetsky},
journal= {arXiv preprint arXiv:2106.06763},
year = {2021}
}