116 citations · 762 across the 46 of their papers we have counts for
26 papers · 1 filter
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…
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…
Non-invertible transformations for the classification of differential-difference equations
R. N. Garifullin, R. I. Yamilov, D. Levi
We discuss aspects of the theory of non-invertible transformations which enter in the problem of classification of diffe\-ren\-tial-difference equations and, in particular, the not…