Nonlinear Phenomena

Inhaltsverzeichnis

• 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.