42 citations · 49 across the 2 of their papers we have counts for
2 papers
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.