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arxiv: 1811.09096 · v2 · pith:B4OFOGRSnew · submitted 2018-11-22 · 🧮 math-ph · math.MP· nlin.SI

Lax Representations for Separable Systems from Benenti Class

classification 🧮 math-ph math.MPnlin.SI
keywords benenticlassfamilyrepresentationssystemsackelconsideredconstruct
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In this paper we construct Lax pairs for St\"ackel 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.

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