We review recent classification results on the theory of systems of nonlinear Hamiltonian partial differential equations with one spatial dimension, including a perturbative approach to the integrability theory of such systems, and discuss universality conjectures describing critical behaviour of solutions to such systems.

Hamiltonian PDEs: deformations, integrability, solutions

Dubrovin, Boris
2010-01-01

Abstract

We review recent classification results on the theory of systems of nonlinear Hamiltonian partial differential equations with one spatial dimension, including a perturbative approach to the integrability theory of such systems, and discuss universality conjectures describing critical behaviour of solutions to such systems.
2010
43
43
1
20
434002
http://frompde.sissa.it/papers/dubrovin_hamiltonian.pdf
Dubrovin, Boris
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12951
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