Hamilton-Jacobi Theory in k-Symplectic Field Theories

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.

References in corpus (4)

• Geometric Structures in Field Theory
• A Geometric Hamilton-Jacobi Theory for Classical Field Theories
• Hamilton-Jacobi Approach for First Order Actions and Theories with Higher Derivatives
• Constructing a class of solutions for the Hamilton-Jacobi equation in field theory

Cited by in corpus (5)

• On the role of geometry in statistical mechanics and thermodynamics I: Geometric perspective
• Reviewing the Geometric Hamilton-Jacobi Theory concerning Jacobi and Leibniz identities
• Geometric Hamilton-Jacobi theory for systems with external forces
• An overview of the Hamilton--Jacobi theory: the classical and geometrical approaches and some extensions and applications
• On Locally Conformally Cosymplectic Hamiltonian Dynamics and Hamilton-Jacobi Theory