34 citations · 107 across the 8 of their papers we have counts for
9 papers
Infinitely Many Commuting Nonlocal Symmetries for Modified Martinez Alonso-Shabat Equation
Hynek Baran
We present a recursion operator and an infinite hierarchy of nonlocal commuting symmetries for the modified Martinez Alonso-Shabat equation $u_y u_{xz} + αu_x u_{ty} - (u_z + αu_t)…
On symmetries of the Gibbons-Tsarev equation
H. Baran, P. Blaschke, I. S. Krasil'shchik +1
We study the Gibbons-Tsarev equation and, using the known Lax pair, we construct infinite series of conservation laws and the algebra of…
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…
Coverings over Lax integrable equations and their nonlocal symmetries
H. Baran, I. S. Krasil'shchik, O. I. Morozov +1
Using the Lax representation with non-removable parameter, we construct two hierarchies of nonlocal conservation laws for the 3D rdDym equation and…
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…