116 citations · 762 across the 46 of their papers we have counts for
53 papers
Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane
Decio Levi, Miguel A. Rodríguez
Determining if an (1+1)-differential-difference equation is integrable or not (in the sense of possessing an infinite number of symmetries) can be reduced to the study of the depen…
Lie point symmetries and ODEs passing the Painlevé test
Decio Levi, David Sekera, Pavel Winternitz
The Lie point symmetries of ordinary differential equations (ODEs) that are candidates for having the Painlevé property are explored for ODEs of order . Among the 6…
Classification of five-point differential-difference equations II
R. N. Garifullin, R. I. Yamilov, D. Levi
Using the generalized symmetry method we finish a classification, started in the article [R.N. Garifullin, R.I. Yamilov and D. Levi, Classification of five-point differential-diffe…
Differential equations invariant under conditional symmetries
Decio Levi, Miguel Angel Rodriguez, Zora Thomova
Nonlinear PDE's having {\bf given} conditional symmetries are constructed. They are obtained starting from the invariants of the "conditional symmetry" generator and imposing the e…
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…
Classification of five-point differential-difference equations
R. N. Garifullin, R. I. Yamilov, D. Levi
Using the generalized symmetry method, we carry out, up to autonomous point transformations, the classification of integrable equations of a subclass of the autonomous five-point d…