Dispersionless BKP Hierarchy and Quadrant L\"owner Equation
Takashi Takebe
TL;DR
This paper explores the connection between the dispersionless BKP hierarchy and a L"owner type equation specific to the quadrant, providing a new mathematical framework for understanding these integrable systems.
Contribution
It introduces a novel L"owner type equation for the quadrant that describes the N-variable reduction of the dispersionless BKP hierarchy.
Findings
Established a L"owner type equation for the quadrant
Connected the dispersionless BKP hierarchy with geometric conformal mappings
Provided a new approach to analyze integrable hierarchies
Abstract
We show that -variable reduction of the dispersionless BKP hierarchy is described by a L\"owner type equation for the quadrant.
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