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	On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi-triviality of bi-Hamiltonian perturbations
	Dubrovin, B ; Liu, SQ ; Zhang, YJ
	2010-05-06 ; 2010-05-06
关键词	KORTEWEG-DEVRIES EQUATION SMALL DISPERSION LIMIT COUPLED KDV EQUATIONS HYDRODYNAMIC TYPE INTEGRABLE EQUATIONS OPERATORS DEFORMATIONS SYMMETRIES ALGEBRA Mathematics, Applied Mathematics
中文摘要	We study the general structure of formal perturbative solutions to the Hamiltonian Perturbations of spatially one-dimensional systems of hyperbolic PDEs v(t) + [phi(v)](x) = 0. Under certain genericity assumptions it is proved that any bi-Hamiltonian perturbation can be eliminated in all orders of the perturbative expansion by a change of coordinates oil the infinite jet space depending rationally oil the derivatives. The main tool is in Constructing the so-called quasiMiura transformation of jet coordinates, eliminating an arbitrary deformation of a semisimple bi-Hamiltonian structure of hydrodynamic type (the quasi-triviality theorem). We also describe, following [35], the invariants of such bi-Hamiltonian structures with respect to the group of Miura-type transformations depending polynomially on the derivatives. (c) 2005 Wiley Periodicals, Inc.
语种	英语 ; 英语
出版者	JOHN WILEY & SONS INC ; HOBOKEN ; 111 RIVER ST, HOBOKEN, NJ 07030 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13746]
专题	清华大学
推荐引用方式 GB/T 7714	Dubrovin, B,Liu, SQ,Zhang, YJ. On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi-triviality of bi-Hamiltonian perturbations[J],2010, 2010.
APA	Dubrovin, B,Liu, SQ,&Zhang, YJ.(2010).On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi-triviality of bi-Hamiltonian perturbations..
MLA	Dubrovin, B,et al."On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi-triviality of bi-Hamiltonian perturbations".(2010).

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