Bihamiltonian Cohomologies and Integrable Hierarchies I: A Special Case
Differential Geometry
2015-06-11 v2 Exactly Solvable and Integrable Systems
Abstract
We present some general results on properties of the bihamiltonian cohomologies associated to bihamiltonian structures of hydrodynamic type, and compute the third cohomology for the bihamiltonian structure of the dispersionless KdV hierarchy. The result of the computation enables us to prove the existence of bihamiltonian deformations of the dispersionless KdV hierarchy starting from any of its infinitesimal deformations.
Keywords
Cite
@article{arxiv.1208.5847,
title = {Bihamiltonian Cohomologies and Integrable Hierarchies I: A Special Case},
author = {Si-Qi Liu and Youjin Zhang},
journal= {arXiv preprint arXiv:1208.5847},
year = {2015}
}
Comments
43 pages. V2: the accepted version, to appear in Comm. Math. Phys