In the many physical phenomena ruled by partial differential equations, two extreme fields are currently overcrowded due to recent considerable developmentsthe field of completely integrable equations, whose recent advances are the inverse spectral transform, the recursion operator, underlying Hamiltonian structures, Lax pairs, etcthe field of dynamical systems, often built as models of observed physical phenomena turbulence, intermittency, Poincare sections, transition to chaos, etc In between there is a very large region where systems are neither integrable nor nonintegrable, but partially integrable, and people working in the latter domain often know methods from eitherorDue to the growing interest in partially integrable systems, we decided to organize a meeting for physicists active or about to undertake research in this field, and we thought that an appropriate form would be a school Indeed, some of the above mentioned methods are often adaptable outside their original domain and therefore worth to be taught in an interdisciplinary school One of the main concerns was to keep a correct balance between physics and mathematics, and this is reflected in the list of courses