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Integrable systems and wave motion

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2021-2022
Period: 
March-May
Duration: 
50 h
Description: 

Course content

  1. From the incompressible Euler equation to the Korteweg - de Vries (KdV) equation
  2. KdV and Schrödinger: The Inverse Scattering Method.
  3. The Hamiltonian and bi-Hamiltonian settings for equations of KdV type.
  4. Group actions and Hamiltonian reductions. Systems of Calogero-Moser and Toda type.
  5. Stratified flows. The Green-Naghdi and Miyata-Camassa-Choi equations.
  6. Hamiltonian aspects of sharply stratified flows and boundary effects."
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