Mathematics

Content:

Part 1

1.1Short review of the classical theory of finite-dimensional integrable systems
1.2 Be-Hamiltonian Geometry and Lax pair
1.3 The Toda system
1.4 The Korteweg de Vries equation: direct and inverse scattering on the line with decreasing initial data
1.5 Long time asymptotic for the solution of the KdV equation with decreasing initial data and Deift-Zhou steepest descent method
1.6 The  Cauchy problem for the KdV equation with periodic initial data and action-angle variables.