Elliptic parametrization of Pfaff integrable hierarchies in the zero dispersion limit

2014/12/31 by V. Akhmedova, A. Zabrodin
Physics and Astronomy · Mathematics · #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1007/s11232-015-0374-z

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

arxiv created 2015/03/09 · arxiv updated 2016/02/17

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.

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