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19932010
most citedOn Hamiltonian perturbations of hyperbolic systems of conservation laws

42 citations · 65 across the 10 of their papers we have counts for

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math-ph2010★ 1 cited

Numerical Study of breakup in generalized Korteweg-de Vries and Kawahara equations

B. Dubrovin, T. Grava, C. Klein

This article is concerned with a conjecture by one of the authors on the formation of dispersive shocks in a class of Hamiltonian dispersive regularizations of the quasilinear tran…

nlin.SI2010

Classical double, R-operators and negative flows of integrable hierarchies

B. Dubrovin, T. Skrypnyk

Using classical double G of a Lie algebra g equipped with a classical R-operator we define two sets of mutually commuting functions with respect to the initial Lie-Poisson bracket…