Elliptic parametrization of Pfaff integrable hierarchies in the zero dispersion limit

Autor: Akhmedova, V., Zabrodin, A.
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/s11232-015-0374-z
Popis: 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.
Comment: 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
Databáze: arXiv