Multisymplectic geometry, covariant Hamiltonians, and water waves
Multisymplectic geometry, covariant Hamiltonians, and water waves
This paper concerns the development and application of the multisymplectic Lagrangian and Hamiltonian formalism for nonlinear partial differential equations. This theory generalizes and unifies the classical Hamiltonian formalism of particle mechanics as well as the many pre-symplectic 2-forms used by Bridges. In this theory, solutions of a partial differential equation …