St\"ackel transform of Lax equations
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 fu...
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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.1901.02368 |