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arXiv · 0710.2184

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

Johanna Michor·Gerald Teschl
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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.

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Johanna Michor, Gerald Teschl. 2007-10-11. On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy. https://doi.org/10.1007/978-3-7643-9921-4_27

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