in Recent Developments in Operator Theory and its Applications, I. Gohberg (ed.) et al., 125-163, Oper. Theory Adv. Appl. 87, 1996 [DOI: 10.1007/978-3-0348-9035-9_6]

The KdV Hierarchy and Associated Trace Formulas

Fritz Gesztesy, R. Ratnaseelan, and Gerald Teschl

A natural algebraic approach to the KdV hierarchy and its algebro-geometric finite-gap solutions is developed. In addition, a new derivation of associated higher-order trace formulas in connection with one-dimensional Schrödinger operators is presented.

MSC91: Primary 35Q53, 34B05; Secondary 34B27, 35Q51
Keywords: KdV hierarchy, trace formulas

TeX file (103k) or pdf file (462k)