25 citations · 218 across the 37 of their papers we have counts for
6 papers · 1 filter
The Prolongation Problem for the Heavenly Equation
M. Palese, R. A. Leo, G. Soliani
We provide an exact regular solution of an operator system arising as the prolongation structure associated with the heavenly equation. This solution is expressed in terms of opera…
Nonlinear 2+1--Dimensional Field Equations from Incomplete Lie Algebra Structures
M. Palese, E. Winterroth
We show that the nonlinear 2+1--dimensional Three--Wave Resonant Interaction equations, describing several important physical phenomena, can be generated starting from incomplete L…
A New Geometric Proposal for the Hamiltonian Description of Classical Field Theories
Mauro Francaviglia, Marcella Palese, Ekkehart Winterroth
We consider the geometric formulation of the Hamiltonian formalism for field theory in terms of {\em Hamiltonian connections} and {\em multisymplectic forms}. In this framework the…
Global Generalized Bianchi Identities for Invariant Variational Problems on Gauge-natural Bundles
M. Palese, E. Winterroth
We derive both {\em local} and {\em global} generalized {\em Bianchi identities} for classical Lagrangian field theories on gauge-natural bundles. We show that globally defined gen…
On the Geometry of Bäcklund Transformations
M. Palese, E. Winterroth
The geometry of an admissible Bäcklund transformation for an exterior differential system is described by an admissible Cartan connection for a geometric structure on a tower with…
Conservation laws for non global Lagrangians
A. Borowiec, M. Ferraris, M. Francaviglia +1
In the Lagrangian framework for symmetries and conservation laws of field theories, we investigate globality properties of conserved currents associated with non-global Lagrangians…