Dispersionless DKP hierarchy and elliptic Lowner equation

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.

15 pages

References in corpus (2)

• N-soliton solutions to the DKP equation and Weyl group actions
• Löwner equations and dispersionless hierarchies

Cited by in corpus (1)

• Multi-variable reductions of the dispersionless DKP hierarchy