M. Manas et al., ZERO SETS OF TAU-FUNCTIONS AND HIDDEN HIERARCHIES OF KDV TYPE, Journal of physics. A, mathematical and general, 30(13), 1997, pp. 4815-4824
The zero sets of KdV tau-functions are characterized in terms of the s
tratification of the infinite Grassmannian. it is shown that these set
s are related to integrable hierarchies arising from Schrodinger equat
ions with energy-dependent potentials.