18 citations · 22 across the 2 of their papers we have counts for
2 papers
math-ph2014★ 18 cited
Ordinary differential equations described by their Lie symmetry algebra
Gianni Manno, Francesco Oliveri, Giuseppe Saccomandi +1
The theory of Lie remarkable equations, i.e. differential equations characterized by their Lie point symmetries, is reviewed and applied to ordinary differential equations. In part…
math.DG2010★ 4 cited
Contact geometry of multidimensional Monge-Ampère equations: characteristics, intermediate integrals and solutions
Dmitri Alekseevsky, Ricardo Alonso-Blanco, Gianni Manno +1
We study the geometry of multidimensional scalar order PDEs (i.e. PDEs with independent variables) with one unknown function, viewed as hypersurfaces in…