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Superintegrability, Lax matrices and separation of variables

J. Harnad·O. Yermolayeva
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Abstract

We show how the superintegrability of certain systems can be deduced from the presence of multiple parameters in the rational Lax matrix representation. This is also related to the fact that such systems admit a separation of variables in parametric families of coordinate systems.

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J. Harnad, O. Yermolayeva. 2006-01-24. Superintegrability, Lax matrices and separation of variables. https://arxiv.org/abs/nlin/0303009

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