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Hamiltonian PDEs: deformations, integrability, solutions

TitleHamiltonian PDEs: deformations, integrability, solutions
Publication TypeJournal Article
Year of Publication2010
AuthorsDubrovin, B
JournalJournal of Physics A: Mathematical and Theoretical. Volume 43, Issue 43, 29 October 2010, Article number 434002

We review recent classification results on the theory of systems of nonlinear\\r\\nHamiltonian partial differential equations with one spatial dimension, including\\r\\na perturbative approach to the integrability theory of such systems, and discuss\\r\\nuniversality conjectures describing critical behaviour of solutions to such\\r\\nsystems.


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