32 citations · 194 across the 17 of their papers we have counts for
15 papers · 1 filter
Reduction and reconstruction of multisymplectic Lie systems
Javier de Lucas, Xavier Gràcia, Xavier Rivas +2
A Lie system is a non-autonomous system of first-order ordinary differential equations describing the integral curves of a non-autonomous vector field taking values in a finite-dim…
Tulczyjew's derivations and intrinsic field equations in classical field theories
Modesto Salgado, Silvia Vilariño
This work presents the variational principles and the intrinsic versions of several equations in field theories, in particular, for the Classical Euler-Lagrange field equations, th…
Multisymplectic structures and invariant tensors for Lie systems
X. Gràcia, J. de Lucas, M. C. Muñoz-Lecanda +1
A Lie system is the non-autonomous system of differential equations describing the integral curves of a non-autonomous vector field taking values in a finite-dimensional Lie algebr…
Hamilton-Jacobi theory in multisymplectic classical field theories
Manuel de León, Pedro Daniel Prieto-Martínez, Narciso Román-Roy +1
The geometric framework for the Hamilton-Jacobi theory developed in previous works is extended for multisymplectic first-order classical field theories. The Hamilton-Jacobi problem…
k-symplectic Lie systems: theory and applications
J. de Lucas, S. Vilariño
A Lie system is a system of first-order ordinary differential equations describing the integral curves of a -dependent vector field taking values in a finite-dimensional real Li…
Symmetries in Lagrangian Field Theory
Lucía Búa, Ioan Bucataru, Manuel de León +2
By generalizing the cosymplectic setting for time-dependent Lagrangian mechanics, we propose a geometric framework for the Lagrangian formulation of classical field theories with a…