Hamilton-Jacobi Theory in k-Symplectic Field Theories
arXiv:1005.1496 · doi:10.1142/S0219887810004919
Abstract
In this paper we extend the geometric formalism of Hamilton-Jacobi theory for Mechanics to the case of classical field theories in the k-symplectic framework.
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- Characteristics, Bicharacteristics, and Geometric Singularities of Solutions of PDEs
- Hamilton-Jacobi theory in Cauchy data space
- Geometric Hamilton-Jacobi theory for systems with external forces
- A geometric Hamilton--Jacobi theory for a Nambu--Poisson structure
- Structural aspects of Hamilton-Jacobi theory
- A Hamilton-Jacobi formalism for higher order implicit systems
- Hamilton-Jacobi theory in multisymplectic classical field theories
- An overview of the Hamilton--Jacobi theory: the classical and geometrical approaches and some extensions and applications
- Hamilton-Jacobi theory for gauge field theories
- On Locally Conformally Cosymplectic Hamiltonian Dynamics and Hamilton-Jacobi Theory