Nonlinear Phenomena

Comments on the inverse scattering transform and related nonlinear evolution equations.- The geometry of complex self-dual Einstein spaces.- Integrable dynamical systems and related mathematical results.- Chiral fields, self-dual Yang-Mills fields as integrable systems, and the role of the Kae-Moody algebra.- The homogeneous hilbert problem, the Geroch conjecture, and a new nine-parameter solution of the Einstein-Maxwell equations.- The inverse scattering transform for multidimensional (2+1) problems.- The technique of variable separation for partial differential equations.- Collectivity and geometry.- Some physical applications of solitons.- Solition models of long internal waves.- Wobbling kinks in ? 4 and sine-Gordon theory.- Lie groups and solutions of nonlinear differential equations.- Symmetry reduction for nonlinear partial differential equations.- Energy transport in an inhomogeneous Heisenberg ferromagnetic chain.- Bäcklund transformations in general relativity.- A prolongation structure for a generalization of the classical massive thirring model.- Atomic nuclei as solitons.- Integrability in dynamical systems and the Painlevé property.- Criteria for the existence of Bäcklund transformations.- The “Weak Painlevé” property and integrability of two-dimensional Hamiltonian systems.- On the Zakharov equations in one dimension.- Infinity manifolds on energy levels for celestial mechanics.- Order in the Chaotic region.- Painlevé Ping-Pong P3-P5.- Chaotic evolution of a system of weakly interacting ocean waves.- Preliminary observations of large amplitude tidal internal waves near the Strait of Messina.- Lie series and Riccati equations.- Linear and nonlinear differential equations as invariants on coset bundles.