Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2008-05-22
Nonlinear Sciences
Exactly Solvable and Integrable Systems
15 pages
Scientific paper
10.1088/1751-8113/41/48/485202
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.
Blaszak Maciej
Marciniak Krzysztof
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