Deformations of bihamiltonian structures of hydrodynamic type

Details Deformations of bihamiltonian structures of hydrodynamic type Deformations of bihamiltonian structures of hydrodynamic type

2001-08-09

arxiv.org/abs/nlin/0108015v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

48 pages, 2 figures

Scientific paper

10.1016/S0393-0440(02)00080-3

In this paper we study the deformations of bihamiltonian PDEs of hydrodynamic type with one dependent variable. The reason we study such deformations is that the deformed systems maintain an infinite number of commuting integrals of motion up to a certain order in the deformation parameter. This fact suggests that these systems could have, at least for small times, multi-solitons solutions. Our numerical experiments confirm this hypothesis.

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