Dispersionless BKP Hierarchy and Quadrant Löwner Equation

Abstract

We show that $N$-variable reduction of the dispersionless BKP hierarchy is described by a Löwner type equation for the quadrant.

References in corpus (3)

• Integrable (2+1)-dimensional systems of hydrodynamic type
• Systems of Gibbons-Tsarev type and integrable 3-dimensional models
• Loewner equations, Hirota equations and reductions of universal Whitham hierarchy

Cited by in corpus (10)

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• Multi-variable reductions of the dispersionless DKP hierarchy
• Loewner equations and reductions of dispersionless hierarchies
• Dispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation
• Determinantal Point Processes, Stochastic Log-Gases, and Beyond
• Multiple backward Schramm--Loewner evolution and coupling with Gaussian free field
• Dispersionless Pfaff-Toda hierarchy and elliptic Löwner equation