4 papers
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…
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 $\…
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…
Towards the Proof of Yoshida's Conjecture
Jiří Jahn, Jiřina Jahnová
Yoshida's Conjecture formulated by H. Yoshida in 1989 states that in equipped with the canonical symplectic form $\mathrm{d}\mathbf{p} \wedge \mathrm{d} \mathbf{q…