Staeckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions

Abstract

We show how to generate coupled KdV hierarchies from Staeckel separable systems of Benenti type. We further show that solutions of these Staeckel systems generate a large class of finite-gap and rational solutions of cKdV hierarchies. Most of these solutions are new.

15 pages

References in corpus (2)

• Generalized Stäckel Transform and Reciprocal Transformations for Finite-Dimensional Integrable Systems
• Remarks on rational solutions for the Korteveg - de Vries hierarchy