10:15 AM-12:15 PM
This session will run until 12:45 PM
To investigate the integrability of PDEs one can search for conserved densities, higher-order symmetries, or bi-Hamiltonian structures. Alternatively, one can analyze the singularity structure of solutions, or verify the Painleve property.
One of the speakers will address the integrability and special solutions of a ninth-order generalization of the classical Darboux-Halphen system. It will be shown that the general solution of the system has a complicated singularity structure involving movable natural barriers and dense branching.
The speakers in this minisymposium will discuss new techniques for the investigation of the integrability of nonlinear evolution and wave equations and novel methods to explicitly construct invariants and symmetries. They will present examples and discuss applications.Organizer: Willy A. Hereman
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