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arXiv · 1404.5135

Dispersionless DKP hierarchy and elliptic Lowner equation

V. Akhmedova·A. Zabrodin
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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.

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V. Akhmedova, A. Zabrodin. 2014-04-21. Dispersionless DKP hierarchy and elliptic Lowner equation. https://doi.org/10.1088/1751-8113/47/39/392001

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