Stationary waves in a nonlinear periodic medium: Strong resonances and localized structures. II. The continuous model

We study here the stationary waves in a nonlinear medium whose propagation constant is harmonically modulated in space. We recover most of the physical results obtained in the discrete model studied in the preceding paper (part I). However, the bifurcations associated with strong (Arnol'd) resonances exhibit some new features. The problem of ``quasi-integrability'' of the wave equation near the bifurcations receives special attention. Finally we give some comments on the observability of the stationary localized solutions.