Variational principles for multisymplectic second-order classical field theories-Reference-Cited by-同舟云学术

Variational principles for multisymplectic second-order classical field theories

Published:2015-09 Issue:08 Volume:12 Page:1560019
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Prieto-Martínez Pedro Daniel¹,Román-Roy Narciso¹

Affiliation:

1. Departament de Matemática Aplicada IV, Universitat Politècnica de Catalunya – Barcelona, Tech. Edificio C-3, Campus Norte UPC, C/Jordi Girona 1, 08034 Barcelona, Spain

Abstract

We state a unified geometrical version of the variational principles for second-order classical field theories. The standard Lagrangian and Hamiltonian variational principles and the corresponding field equations are recovered from this unified framework.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887815600191

Reference9 articles.

1. Unambiguous formalism for higher order Lagrangian field theories

2. Extended Hamiltonian systems in multisymplectic field theories

3. A new multisymplectic unified formalism for second order classical field theories

4. An alternative approach to the Cartan form in Lagrangian field theories

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