Integrable Hierarchies and Modern Physical Theories: NATO Science Series II: Mathematics, Physics and Chemistry, cartea 18

Seiberg-Witten Toda Chains and N=1 SQCD.- Integrable Hierarchies in Donaldson-Witten and Seiberg-Witten Theories.- Integrable Many-Body Systems and Gauge Theories.- From PCM to KdV and Back.- Reflection Amplitudes in Conformai Field Theory and Integrable Systems.- Lagrangian Approach to Integrable Systems Yields New Symplectic Structures for KdV.- Skyrmions from Harmonic Maps.- Symmetry Flows, Conservation Laws and Dressing Approach to the Integrable Models.- Trigonometric Calogero-Moser System as a Symmetry Reduction of KP Hierarchy.- Supersymmetric Toda Lattice Hierarchies.- Symmetries and Recursions for N = 2 Supersymmetric KdV-equation.- New Solvable Periodic Potentials from Supersymmetry.- Functional and Differential Equations in the Problems of Nonlinear Mathematical Physics.- Integrable Multi-Dimensional Discrete Geometry. Quadrilateral lattices, their transformations and reductions.- Integrable Nets and the KP Hierarchy.- A Survey of Star Product Geometry.