3 papers
math-ph2025
On the characteristic form of -valued zero-curvature representations
Jirina Jahnova
We study -valued zero-curvature representations (ZCRs) for partial differential equations in two independent variables from the perspective of their extension to the…
nlin.SI2024
A straightforward construction of -graded Lie algebras of full-fledged nonlocal symmetries via recursion operators
Jirina Jahnova, Petr Vojcak
We consider the reduced quasi-classical self-dual Yang-Mills equation (rYME) and two recently found (Jahnová and Vojčák, 2024) invertible recursion operators and $\…
nlin.SI2023
On recursion operators for full-fledged nonlocal symmetries of the reduced quasi-classical self-dual Yang-Mills equation
Jirina Jahnova, Petr Vojcak
We introduce the idea of constructing recursion operators for full-fledged nonlocal symmetries and apply it to the reduced quasi-classical self-dual Yang-Mills equation. It turns o…