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arXiv · 1805.01665

Liouville correspondences between multi-component integrable hierarchies

Jing Kang·Xiaochuan Liu·Peter J. Olver·Changzheng Qu
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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.

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Jing Kang, Xiaochuan Liu, Peter J. Olver, Changzheng Qu. 2018-05-04. Liouville correspondences between multi-component integrable hierarchies. https://arxiv.org/abs/1805.01665

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