Constrained Hamiltonian dynamics and the Poisson structure of some integrable systems
If X is a submanifold of the phase space of a Hamiltonian system with Poisson bracket \(\{\), \(\}\), the author chooses a new bracket \(\{\), \(\}\) \({}^*\) that will turn X into a symplectic manifold. The theory is used to give ''a new look at the Hamiltonian structure of the Korteweg-de Vries, Kadomtsev-Petviashvili, and sine-Gordon (in light-cone coordinates) equations''.
scientific article; zbMATH DE number 3982112