Non-Abelian covering and new recursion operators for the 4D Mart\'inez Alonso-Shabat equation
Exactly Solvable and Integrable Systems
2022-06-22 v1
Abstract
We present new recursion operators for (shadows of nonlocal) symmetries of the 4D Mart\'inez Alonso-Shabat equation , and we show that their actions can produce new symmetries which are not contained in the Lie algebra of nonlocal symmetries presented in [I.S.Krasil'shchik, P.Voj\v{c}\'{a}k, On the algebra of nonlocal symmetries for the 4D Mart\'inez Alonso-Shabat equation. J. of Geom. and Phys. 163, (2021), 104122, (arXiv:2008.10281v1)]. To this end, we construct a non-Abelian covering of the equation in question using the Lax pair with two non-removable parameters.
Keywords
Cite
@article{arxiv.2206.10530,
title = {Non-Abelian covering and new recursion operators for the 4D Mart\'inez Alonso-Shabat equation},
author = {Petr Vojcak},
journal= {arXiv preprint arXiv:2206.10530},
year = {2022}
}
Comments
11 pages, 2 figures