34 citations · 50 across the 5 of their papers we have counts for
5 papers
Lagrangian extensions of multi-dimensional integrable equations. I. The five-dimensional Mart{\'ı}nez Alonso--Shabat equation
I. S. Krasil'shchik, O. I. Morozov
We study a Lagrangian extension of the 5d Martínez Alonso--Shabat equation \begin{equation*} u_{yz}=u_{tx}+u_y\,u_{xs}-u_x\,u_{ys} \end{equation*} that coincides with…
2D reductions of the equation and their nonlocal symmetries
P. Holba, I. S. Krasil'shchik, O. I. Morozov +1
We consider the 3D equation and its 2D reductions: (1) (which is equivalent to the Gibbons-Tsarev equ…
Nonlocal symmetries of Lax integrable equations: a comparative study
H. Baran, I. S. Krasil'shchik, O. I. Morozov +1
We continue here the study of Lax integrable equations. We consider four three-dimensional equations: (1) the rdDym equation , (2) the 3D Pavlov e…
Integrability properties of some symmetry reductions
H. Baran, I. S. Krasil'shchik, O. I. Morozov +1
In our recent paper [H. Baran, I.S. Krasil'shchik, O.I. Morozov, P. Voj{č}{á}k, Symmetry reductions and exact solutions of Lax integrable -dimensional systems, Journal of Nonlin…
Symmetry reductions and exact solutions of Lax integrable -dimensional systems
H. Baran, I. S. Krasil'shchik, O. I. Morozov +1
We present a complete description of -dimensional equations that arise as symmetry reductions of fourf -dimensional Lax-integrable equations: (1) the universal hierarchy equa…