On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy

Details On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy

2007-10-11

arxiv.org/abs/0710.2184v1

in Modern Analysis and Applications, V. Adamyan (ed.) et al., 445-453, Oper. Theory Adv. Appl. 191, Birkhaeuser, Basel, 2009

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages

Scientific paper

10.1007/978-3-7643-9921-4_27

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.

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