New Trends in Integrability and Partial Solvability [Hardcover]

Proceedings of the NATO Advanced Research Workshop, held in Cadiz, Spain, from 12 to 16 June 2002Preface. List of Contributors. Initial value problems and solutions of the Kadomtsev-Petviashvili equation; M.J. Ablowitz, J. Villarroel. Partially superintegrable (indeed isochronous) systems are not rare; F. Calogero. Initial-boundary value problems for linear PDEs: the analyticity approach; A. Degasperis, S.V. Manakov, P.M. Santini. Quasi-exactly solvable Bose systems; S.N. Dolya, O.B. Zaslavskii. The Riemann and Einstein-Weyl geometries in the theory of ordinary differential equations, their applications and all that; V. Dryuma. Dunkl operators and Calogero-Sutherland models; F. Finkel, et al. Yang-Baxter maps and matrix solitons; V.M. Goncharenko, A.P. Veselov. Nonlocal Symmetries and Ghosts; P.J. Olver. Integrable BCN analytic difference operators: hidden parameter symmetries and eigenfunctions; S.N.M. Ruijsenaars. On the prolongation of a hierarchy of hydrodynamic chains; A.B. Shabat, L. Mart?nez Alonso. Superintegrable systems in classical and quantum mechanics; P. Winternitz.