Liouville correspondences between multi-component integrable hierarchies
Exactly Solvable and Integrable Systems
2018-05-07 v1
Abstract
In this paper, we establish Liouville correspondences for the integrable two-component Camassa-Holm hierarchy, the two-component Novikov (Geng-Xue) hierarchy, and the two-component dual dispersive water wave hierarchy by means of the related Liouville transformations. This extends previous results on the scalar Camassa-Holm and KdV hierarchies, and the Novikov and Sawada-Kotera hierarchies to the multi-component case.
Cite
@article{arxiv.1805.01665,
title = {Liouville correspondences between multi-component integrable hierarchies},
author = {Jing Kang and Xiaochuan Liu and Peter J. Olver and Changzheng Qu},
journal= {arXiv preprint arXiv:1805.01665},
year = {2018}
}