Dispersionless DKP hierarchy and elliptic Lowner equation
Mathematical Physics
2015-06-19 v1 math.MP
Abstract
We show that the dispersionless DKP hierarchy (the dispersionless limit of the Pfaff lattice) admits a suggestive reformulation through elliptic functions. We also consider one-variable reductions of the dispersionless DKP hierarchy and show that they are described by an elliptic version of the Lowner equation. With a particular choice of the driving function, the latter appears to be closely related to the Painleve VI equation with special choice of parameters.
Keywords
Cite
@article{arxiv.1404.5135,
title = {Dispersionless DKP hierarchy and elliptic Lowner equation},
author = {V. Akhmedova and A. Zabrodin},
journal= {arXiv preprint arXiv:1404.5135},
year = {2015}
}
Comments
15 pages