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.
Work supported by the Austrian Science Fund (FWF) under Grants No. Y330 and J2655.
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Michor, J., Teschl, G. (2009). On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy. In: Adamyan, V.M., et al. Modern Analysis and Applications. Operator Theory: Advances and Applications, vol 191. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9921-4_27
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DOI: https://doi.org/10.1007/978-3-7643-9921-4_27
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