Staeckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions
classification
🌊 nlin.SI
keywords
solutionshierarchiesstaeckelsystemscoupledfinite-gapgeneraterational
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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.
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