Elliptic parametrization of Pfaff integrable hierarchies in the zero dispersion limit
Mathematical Physics
2016-02-17 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We show that the dispersionless limits of the Pfaff-KP (also known as the DKP or Pfaff lattice) and the Pfaff-Toda hierarchies admit a reformulation through elliptic functions. In the elliptic form they look like natural elliptic deformations of the KP and 2D Toda hierarchy respectively.
Keywords
Cite
@article{arxiv.1412.8435,
title = {Elliptic parametrization of Pfaff integrable hierarchies in the zero dispersion limit},
author = {V. Akhmedova and A. Zabrodin},
journal= {arXiv preprint arXiv:1412.8435},
year = {2016}
}
Comments
13 pages, no figures, written for proceedings of the 4th Workshop on combinatorics of moduli spaces, cluster algebras, and topological recursion (Moscow, May 2014); minor changes