Elliptic parametrization of Pfaff integrable hierarchies in the zero dispersion limit

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.

Saved in:
Bibliographic Details
Published in:arXiv.org 2015-03
Main Authors: Akhmedova, V, Zabrodin, A
Format: Article
Language:English
Subjects:
Dispersion
Elliptic functions
Hierarchies
Parameterization
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1412.8435