On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy
arXiv:0710.2184 · doi:10.1007/978-3-7643-9921-4_27
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.
8 pages