Liouville correspondences between multicomponent integrable hierarchies

摘要

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 using the related Liouville transformations. This extends previous results for scalar Camassa-Holm and KdV hierarchies and Novikov and Sawada-Kotera hierarchies to the multicomponent case.