A new multisymplectic unified formalism for second order classical field theories

DOI10.3934/jgm.2015.7.203zbMath1372.70057arXiv1402.4087OpenAlexW3124331458MaRDI QIDQ888759

Narciso Román-Roy, Pedro Daniel Prieto-Martínez

Publication date: 2 November 2015

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4087

zbMATH Keywords

KdV equationmultisymplectic manifoldsLagrangian and Hamiltonian formalismshigher-order field theoriesSkinner-Rusk formulation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50) Symplectic field theory; contact homology (53D42)

Related Items

Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories ⋮ Higher order Hamiltonian systems with generalized Legendre transformation ⋮ Variational principles for multisymplectic second-order classical field theories ⋮ On the extraction of the boundary conditions and the boundary ports in second-order field theories ⋮ Higher-order contact mechanics ⋮ Skinner-Rusk formalism for \(k\)-contact systems ⋮ Routh reduction of Palatini gravity in vacuum ⋮ Unified Lagrangian‐Hamiltonian Formalism for Contact Systems ⋮ Hamilton-Jacobi theory in multisymplectic classical field theories ⋮ Unified formalism for Palatini gravity ⋮ Griffiths variational multisymplectic formulation for Lovelock gravity ⋮ Multisymplectic unified formalism for Einstein-Hilbert gravity ⋮ Order reduction, projectability and constraints of second-order field theories and higher-order mechanics

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