St\"ackel transform of Lax equations
classification
🌊 nlin.SI
math-phmath.MP
keywords
ackelpairsclasssystemstransformapplyingarbitrarychosen
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We construct Lax pairs for a wide class of St\"ackel systems by applying the multi-parameter St\"ackel transform to Lax pairs of a suitably chosen systems from the seed class. For a given St\"ackel system, the obtained set of non-equivalent Lax pairs is parametrized by an arbitrary function.
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