On Hamiltonian perturbations of hyperbolic systems of conservation laws
| dc.creator | Dubrovin, Boris | |
| dc.creator | Liu, Si-Qi | |
| dc.creator | Zhang, Youjin | |
| dc.date | 2004-10-01 | |
| dc.date | 2004-10-02 | |
| dc.date.accessioned | 2026-07-07T05:12:47Z | |
| dc.date.available | 2026-07-07T05:12:47Z | |
| dc.description | 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. | |
| dc.description | 53 pages | |
| dc.identifier | https://arxiv.org/abs/math/0410027 | |
| dc.identifier | http://arxiv.org/abs/math/0410027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72707 | |
| dc.subject | Differential Geometry | |
| dc.subject | Mathematical Physics | |
| dc.title | On Hamiltonian perturbations of hyperbolic systems of conservation laws | |
| dc.type | text |