@article {2006,
	title = {On Hamiltonian perturbations of hyperbolic systems of conservation laws I: quasitriviality of bihamiltonian perturbations},
	journal = {Comm. Pure Appl. Math. 59 (2006) 559-615},
	number = {arXiv.org;math/0410027},
	year = {2006},
	abstract = {We study the general structure of formal perturbative solutions to the Hamiltonian perturbations of spatially one-dimensional systems of hyperbolic PDEs. Under certain genericity assumptions it is proved that any bihamiltonian perturbation can be eliminated in all orders of the perturbative expansion by a change of coordinates on the infinite jet space depending rationally on the derivatives. The main tools is in constructing of the so-called quasi-Miura transformation of jet coordinates eliminating an arbitrary deformation of a semisimple bihamiltonian structure of hydrodynamic type (the quasitriviality theorem). We also describe, following \\\\cite{LZ1}, the invariants of such bihamiltonian structures with respect to the group of Miura-type transformations depending polynomially on the derivatives.},
	doi = {10.1002/cpa.20111},
	url = {http://hdl.handle.net/1963/2535},
	author = {Boris Dubrovin and Liu Si-Qi and Zhang Youjin}
}
