Liouville correspondences between multi-component integrable hierarchies

2018/05/04 by Jing Kang, Kang, Jing, Xiaochuan Liu +5
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1805.01665

openalex publication_date 2018/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

Citations

• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations
• A Higher-Order Water-Wave Equation and the Method for Solving It

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