A four-component Camassa-Holm type hierarchy

Abstract

We consider a 3$\times$3 spectral problem which generates four-component CH type systems. The bi-Hamiltonian structure and infinitely many conserved quantities are constructed for the associated hierarchy. Some possible reductions are also studied.

References in corpus (3)

• A new two-component integrable system with peakon solutions
• Generalisations of the Camassa-Holm equation
• Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries

Cited by in corpus (6)

• A synthetical two-component model with peakon solutions
• An Application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type
• Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice
• Reciprocal link for a three-component Camassa-Holm type equation
• A generalised multicomponent system of Camassa-Holm-Novikov equations
• Analyticity, Gevrey regularity and unique continuation for an integrable multi-component peakon system with an arbitrary polynomial function