399 citations
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ205 papers
- Universidade Federal do ABCBR61 papers
- Czech Academy of Sciences, Astronomical InstituteCZ57 papers
- Nicolaus Copernicus Astronomical CenterPL55 papers
- Czech Technical University in PragueCZ40 papers
- University of GothenburgSE38 papers
- Peoples' Friendship University of RussiaRU36 papers
- Ulugh Beg Astronomical InstituteUZ34 papers
- Polish Academy of SciencesPL30 papers
- Centre National de la Recherche ScientifiqueFR27 papers
- Charles UniversityCZ27 papers
- Joint Institute for Nuclear ResearchRU26 papers
8 papers · 1 filter
The functional formulation of second-order ordinary differential equations
P. Chladek
In this paper, the necessary and sufficient conditions in order that a smooth mapping F be a dependence of a complete solution of some second-order ordinary differential equation o…
On bosonic limits of two recent supersymmetric extensions of the Harry Dym hierarchy
S. Yu. Sakovich
Two generalized Harry Dym equations, recently found by Brunelli, Das and Popowicz in the bosonic limit of new supersymmetric extensions of the Harry Dym hierarchy [J. Math. Phys. 4…
A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation
Artur Sergyeyev, Jan A. Sanders
We consider the Calogero-Degasperis-Ibragimov-Shabat (CDIS) equation and find the complete set of its nonlocal symmetries depending on the local variables and on the integral of th…
Transformation of a generalized Harry Dym equation into the Hirota--Satsuma system
S. Yu. Sakovich
The new generalized Harry Dym equation, recently introduced by Z. Popowicz in Phys. Lett. A 317, 260--264 (2003), is transformed into the Hirota--Satsuma system of coupled KdV equa…
Equatorial circular orbits in the Kerr-de Sitter spacetimes
Z. Stuchlik, P. Slany
Equatorial motion of test particles in the Kerr-de Sitter spacetimes is considered. Circular orbits are determined, their properties are discussed for both the black-hole and naked…
Reducibility of zero curvature representations with application to recursion operators
Michal Marvan
We present a criterion of reducibility of a zero curvature representation to a solvable subalgebra, hence to a chain of conservation laws. Namely, we show that reducibility is equi…