On the Equivalence of Different Lax Pairs for the Kac-van Moerbeke Hierarchy
classification
🌊 nlin.SI
math-phmath.MP
keywords
hierarchydifferentequationsgivekac-vanmoerbekepairsalgebraic
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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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