New Trends in Integrability and Partial Solvability

Initial value problems and solutions of the Kadomtsev-Petviashvili equation.- Partially superintegrable (indeed isochronous) systems are not rare.- Initial-boundary value problems for linear PDEs: the analyticity approach.- Quasi-exactly solvable Bose systems.- The Riemann and Einstein-Weyl geometries in the theory of ordinary differential equations, their applications and all that.- Dunkl operators and Calogero-Sutherland models.- Yang-Baxter maps and matrix solitons.- Nonlocal Symmetries and Ghosts.- Integrable BCN analytic difference operators: hidden parameter symmetries and eigenfunctions.- On the prolongation of a hierarchy of hydrodynamic chains.- Superintegrable systems in classical and quantum mechanics.