Symmetries, psudosymmetries and conservation laws in Lagrangian and Hamiltonian $k$-symplectic formalisms

Abstract

In this paper we will present Lagrangian and Hamiltonian $k$-symplectic formalisms, we will recall the notions of symmetry and conservation law and we will define the notion of pseudosymmetry as a natural extension of symmetry. Using symmetries and pseudosymmetries, without the help of a Noether type theorem, we will obtain new kinds of conservation laws for $k$-symplectic Hamiltonian systems and $k$-symplectic Lagrangian systems.

arXiv admin note: text overlap with arXiv:1204.6573 by other authors

References in corpus (2)

• On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory
• Symmetries, Newtonoids vector fields and conservation laws in the Lagrangian $k$-symplectic formalism