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arXiv · 1901.02368

Stäckel transform of Lax equations

Maciej Blaszak·Krzysztof Marciniak
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Abstract

We construct Lax pairs for a wide class of Stäckel systems by applying the multi-parameter Stäckel transform to Lax pairs of a suitably chosen systems from the seed class. For a given Stäckel system, the obtained set of non-equivalent Lax pairs is parametrized by an arbitrary function.

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Maciej Blaszak, Krzysztof Marciniak. 2019-01-08. Stäckel transform of Lax equations. https://arxiv.org/abs/1901.02368

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