363 citations · 1.3k across the 53 of their papers we have counts for
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math.DG2004★ 42 cited
On Hamiltonian perturbations of hyperbolic systems of conservation laws
Boris Dubrovin, Si-Qi Liu, Youjin Zhang
We study the general structure of formal perturbative solutions to the Hamiltonian perturbations of spatially one-dimensional systems of hyperbolic PDEs. Under certain genericity a…
math.DG2004★ 7 cited
On the Quasitriviality of Deformations of Bihamiltonian Structures of Hydrodynamic Type
Si-Qi Liu, Youjin Zhang
We prove in this paper the quasitriviality of a class of deformations of the one component bihamiltonian structures of hydrodynamic type.
math.DG2004★ 108 cited
Deformations of Semisimple Bihamiltonian Structures of Hydrodynamic Type
Si-Qi Liu, Youjin Zhang
We classify in this paper infinitesimal quasitrivial deformations of semisimple bihamiltonian structures of hydrodynamic type.