Lax Representations for Separable Systems from Benenti Class

Abstract

In this paper we construct Lax pairs for Stäckel systems with separation curves from so-called Benenti class. For each system of considered family we present an infinite family of Lax representations, parameterized by smooth functions of spectral parameter.

References in corpus (2)

• Natural coordinates for a class of Benenti systems
• Non-autonomous Henon-Heiles system from Painleve class

Cited by in corpus (2)

• Systematic construction of non-autonomous Hamiltonian equations of Painlevé-type. I. Frobenius integrability
• Non-autonomous Henon-Heiles system from Painleve class