Abstract
Abstract: 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 843-874 |
| Number of pages | 32 |
| Journal | Theoretical and Mathematical Physics(Russian Federation) |
| Volume | 204 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 1 2020 |
Bibliographical note
Funding Information:The research of C. Qu was supported by the National Science Foundation of China (Grant Nos. 11631007 and 11971251).
Funding Information:
The research of J. Kang was supported by the National Science Foundation of China (Grant Nos. 11631007 and 11871395) and the National Science Basic Research Program of Shaanxi (No. 2019JC-28).
Funding Information:
The research of X. Liu was supported by the National Science Foundation of China (Grant Nos. 11722111 and 11631007).
Publisher Copyright:
© 2020, Pleiades Publishing, Ltd.
Keywords
- Liouville transformation
- bi-Hamiltonian structure
- two-component Camassa–Holm system
- two-component Novikov system
- two-component dual dispersive water wave system