Bihamiltonian Systems of Hydrodynamic Type and Reciprocal Transformations
Differential Geometry
2009-11-11 v1 Exactly Solvable and Integrable Systems
Abstract
We prove that under certain linear reciprocal transformation, an evolutionary PDE of hydrodynamic type that admits a bihamiltonian structure is transformed to a system of the same type which is still bihamiltonian.
Cite
@article{arxiv.math/0510250,
title = {Bihamiltonian Systems of Hydrodynamic Type and Reciprocal Transformations},
author = {Ting Xue and Youjin Zhang},
journal= {arXiv preprint arXiv:math/0510250},
year = {2009}
}
Comments
15 pages