Staeckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions
Exactly Solvable and Integrable Systems
2009-11-13 v1
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.
Keywords
Cite
@article{arxiv.0805.3382,
title = {Staeckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions},
author = {Maciej Blaszak and Krzysztof Marciniak},
journal= {arXiv preprint arXiv:0805.3382},
year = {2009}
}
Comments
15 pages