A three-component generalization of Camassa–Holm equation with N-peakon solutions
A three-component generalization of Camassa–Holm equation with N-peakon solutions
复制标题
DOI：
10.1016/j.aim.2010.07.009
复制
发表时间：
2011-01
影响因子：
1.7
通讯作者：
X. Geng;Bo Xue
中科院分区：
文献类型：
--
作者：
X. Geng;Bo Xue
A three-component generalization of Camassa–Holm equation with peakon solutions is proposed, which is associated with a 3×3 matrix spectral problem with three potentials. With the aid of the zero-curvature equation, we derive a hierarchy of new nonlinear evolution equations and establish their Hamiltonian structures. The three-component generalization of Camassa–Holm equation is exactly a negative flow in the hierarchy and admits exact solutions with N-peakons and an infinite sequence of conserved quantities.
