Title: Families of periodic solutions for some Hamiltonian PDEs
Authors: G. Arioli, H. Koch
Abstract:   We consider the nonlinear wave equation utt-uxx=±u3 and the beam equation utt+uxxxx=±u3 on an interval. Numerical observations indicate that time-periodic solutions for these equations are organized into structures that resemble branches and seem to undergo bifurcations. Besides describing our observations, we prove the existence of time-periodic solutions for various periods (a set of positive measure in the case of the beam equation) along the main nontrivial "branch".
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