38 citations · 250 across the 19 of their papers we have counts for
20 papers
Matching van Stockum dust to Papapetrou vacuum
Michal Marvan
Addressing a long-standing problem, we show that every van Stockum dust can be matched to a 1-parametric family of non-static Papapetrou vacuum metrics, and the converse. The bound…
The equivalence problem for generic four-dimensional metrics with two commuting Killing vectors
D. Catalano Ferraioli, M. Marvan
We consider the equivalence problem of four-dimensional semi-Riemannian metrics with the -dimensional Abelian Killing algebra. In the generic case we determine a semi-invariant…
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…
Integrable Dispersive Chains and Their Multi-Phase Solutions
Michal Marvan, Maxim V. Pavlov
In this paper we construct multi-phase solutions for integrable dispersive chains associated with the three-dimensional linearly degenerate Mikhalev system of first order. These so…
A new class of solutions for the multi-component extended Harry Dym equation
Michal Marvan, Maxim V. Pavlov
We construct a point transformation between two integrable systems, the multi-component Harry Dym equation and the multi-component extended Harry Dym equation, that does not preser…
Nonlocal conservation laws of the constant astigmatism equation
Adam Hlaváč, Michal Marvan
For the constant astigmatism equation, we construct a system of nonlocal conservation laws (an abelian covering) closed under the reciprocal transformations. We give functionally i…