On the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories
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Inclou dades d'ús des de 2022
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hdl:2117/1054
Tipus de documentArticle
Data publicació2007-05-31
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Abstract
The objective of this work is twofold: First, we analyze the relation between the kcosymplectic and the k-symplectic Hamiltonian and Lagrangian formalisms in classical field theories. In particular, we prove the equivalence between k-symplectic field theories and the so-called autonomous k-cosymplectic field theories, extending in this way the description of the symplectic formalism of autonomous systems as a articular case of the cosymplectic formalism in non-autonomous mechanics. Furthermore, we clarify some aspects of the geometric
character of the solutions to the Hamilton-de Donder-Weyl and the Euler-Lagrange
equations in these formalisms. Second, we study the equivalence between k-cosymplectic
and a particular kind of multisymplectic Hamiltonian and Lagrangian field theories (those where the configuration bundle of the theory is trivial).
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