42 citations · 64 across the 7 of their papers we have counts for
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math.DG2007★ 1 cited
Frobenius Manifolds and Central Invariants for the Drinfeld - Sokolov Bihamiltonian Structures
Boris Dubrovin, Si-Qi Liu, Youjin Zhang
The Drinfeld - Sokolov construction associates a hierarchy of bihamiltonian integrable systems with every untwisted affine Lie algebra. We compute the complete set of invariants of…
math.AP2007
On universality of critical behaviour in the focusing nonlinear Schrödinger equation, elliptic umbilic catastrophe and the {\it tritronquée} solution to the Painlevé-I equation
B. Dubrovin, T. Grava, C. Klein
We argue that the critical behaviour near the point of ``gradient catastrophe" of the solution to the Cauchy problem for the focusing nonlinear Schrödinger equation $ iεψ_t +\frac{…