A three-component generalization of Camassa-Holm equation with \(N\)-peakon solutions (Q610695)

From a newly formed \(3\times 3\) matrix spectral problem, a three-component generalization of the Camassa-Holm equation with peakon solutions is generated. With the aid of the zero-curvature equation and the trace identity, the authors derive a hierarchy of nonlinear soliton equations and construct their Hamiltonian structures. The first negative flow in the hierarchy gives the three-component generalization of the Camassa-Holm equation, which admits \(N\)-peakons and an infinite sequence of conservation laws.