Stäckel transform of Lax equations

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.

References in corpus (1)

• Natural coordinates for a class of Benenti systems