116 citations · 762 across the 46 of their papers we have counts for
25 papers · 1 filter
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…
On immersion formulas for soliton surfaces
Alfred Michel Grundland, Decio Levi, Luigi Martina
This paper is devoted to a study of the connections between three different analytic descriptions for the immersion functions of 2D-surfaces corresponding to the following three ty…
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…
Lie groups and numerical solutions of differential equations: Invariant discretization versus differential approximation
Decio Levi, Pavel Winternitz
We briefly review two different methods of applying Lie group theory in the numerical solution of ordinary differential equations. On specific examples we show how the symmetry pre…
Linearization through symmetries for discrete equations
Decio Levi, Christian Scimiterna
We show that one can define through the symmetry approach a procedure to check the linearizability of a difference equation via a point or a discrete Cole-Hopf transformation. If t…
The Jacobi last multiplier for difference equations
D. Levi, M. A. Rodriguez
We present a discretization of the Jacobi last multiplier, with some applications to the computation of solutions of difference equations.