Elliptic parametrization of Pfaff integrable hierarchies in the zero dispersion limit

Published 29 Dec 2014 in math-ph, math.MP, and nlin.SI | (1412.8435v2)

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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