18 citations · 35 across the 4 of their papers we have counts for
4 papers
Completely exceptional order PDEs via conformal geometry and BGG resolution
Jan Gutt, Gianni Manno, Giovanni Moreno
By studying the development of shock waves out of discontinuity waves, in 1954 P. Lax discovered a class of PDEs, which he called 'completely exceptional', where such a transition…
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…
Meta-Symplectic Geometry of Order Monge-Ampère Equations and their Characteristics
Gianni Manno, Giovanni Moreno
This paper is a natural companion of [Alekseevsky D.V., Alonso Blanco R., Manno G., Pugliese F., Ann. Inst. Fourier (Grenoble) 62 (2012), 497-524, arXiv:1003.5177], generalising it…
Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves
S. Igonin, J. van de Leur, G. Manno +1
The Wahlquist-Estabrook prolongation method constructs for some PDEs a Lie algebra that is responsible for Lax pairs and Backlund transformations of certain type. We present some g…