THE CANONICAL HAMILTONIAN REPRESENTATIONS IN A CLASS OF PARTIAL DIFFERENTIAL EQUATION 1)

The infinite dimensional Hamiltonian system plays a very important role in mechanics, but many partial differential equations that appeared from concrete problems are not in the forms of infinite dimensional Hamiltonian system. Therefore, in recent years, many people are concerned about the problem of which partial differential equation, especially, the linear partial differential equations with variable coefficients and nonlinear partial differential equations can be transformed into the infinite dimension...