Integrable structures of dispersionless systems and differential geometry
Exactly Solvable and Integrable Systems
2017-06-28 v1 Mathematical Physics
math.MP
Abstract
We develop the theory of Whitham type hierarchies integrable by hydrodynamic reductions as a theory of certain differential-geometric objects. As an application we construct Gibbons-Tsarev systems associated to moduli space of algebraic curves of arbitrary genus and prove that the universal Whitham hierarchy is integrable by hydrodynamic reductions.
Cite
@article{arxiv.1609.08969,
title = {Integrable structures of dispersionless systems and differential geometry},
author = {Alexander Odesskii},
journal= {arXiv preprint arXiv:1609.08969},
year = {2017}
}
Comments
23 pages, Latex, overlapped with arXiv:1505.07779 [math.AG] but different emphasis is given here: this paper is designed for Integrable systems community