M.L. Gorbachuk, V. Gorbachuk, A.N. Kochubei, H. Langer, G. Popov, (Eds.), 437-445,
Oper. Theory Adv. Appl. 191, Birkhäuser, Basel, 2007.
On the equivalence of different Lax pairs for the Kac-van Moerbeke hierarchy
J. Michor and G. Teschl
Keywords: Kac-van Moerbeke hierarchy, Lax pair, Toda hierarchy.
Abstract: We give a simple algebraic proof that the two different Lax pairs for the Kac-van Moerbeke hierarchy, constructed from Jacobi respectively super-symmetric Dirac-type difference operators, give rise to the same hierarchy of evolution equations. As a byproduct we obtain some new recursions for computing these equations.
MSC: Primary 47B36, 37K15; Secondary 81U40, 39A10.
ESI Preprint 1965