59 citations · 76 across the 3 of their papers we have counts for
3 papers
nlin.SI2017★ 3 cited
Conformally invariant elliptic Liouville equation and its symmetry preserving discretization
Decio Levi, Luigi Martina, Pavel Winternitz
The symmetry algebra of the real elliptic Liouville equation is an infinite-dimensional loop algebra with the simple Lie algebra as its maximal finite-dimensional subalgeb…
math-ph2014★ 14 cited
Lie-point symmetries of the discrete Liouville equation
Decio Levi, Luigi Martina, Pavel Winternitz
The Liouville equation is well known to be linearizable by a point transformation. It has an infinite dimensional Lie point symmetry algebra isomorphic to a direct sum of two Viras…
math-ph2001★ 59 cited
Group foliation and non-invariant solutions of the heavenly equation
L. Martina, M. B. Sheftel, P. Winternitz
The main physical result of this paper are exact analytical solutions of the heavenly equation, of importance in the general theory of relativity. These solutions are not invariant…