Quasi-periodic solutions for class of Hamiltonian partial differential equations with fixed constant potential (Q1705069)

This article is devoted to the study of Hamiltonian partial differential equations with periodic boundary conditions. The forcing term is taken as a real analytic function of a particular form. Many important equations of mathematical physics can be modelled as dynamical systems in an infinite-dimensional phase space. These are in the form of a Hamiltonian system with infinitely many degrees of freedom. The author derives quasi-periodic solutions for some concrete systems. Proofs are based on KAM theory and partial Birkhoff normal forms.