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Integrable systems, Frobenius manifolds and nonlinear waves


Integrable Systems

  • Definition of an integrable system in finite dimension.
  • Lax pair.
  • Infinite dimensional integrable systems.
  • An example: the Toda lattice equation. Soliton solution and periodic solutions.
  • Toda lattice and Hermitian random matrices.
  • The beta-ensamble (non integrable).


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