Löwner equations, Hirota equations and reductions of the universal Whitham hierarchy
Löwner equations, Hirota equations and reductions of the universal Whitham hierarchy
This paper reconsiders finite variable reductions of the universal Whitham hierarchy of genus zero in the perspective of dispersionless Hirota equations. In the case of one-variable reduction, dispersionless Hirota equations turn out to be a powerful tool for understanding the mechanism of reduction. All relevant equations describing the reduction (Löwner-type …