中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1574-1580.doi: 10.1088/1674-1056/17/5/007
张鸿庆1, 于发军2
Yu Fa-Jun(于发军)a)b)† and Zhang Hong-Qing(张鸿庆)b)
摘要: This paper presents a set of multicomponent matrix Lie algebra, which is used to construct a new loop algebra \tilde{A}M. By using the Tu scheme, a Liouville integrable multicomponent equation hierarchy is generated, which possesses the Hamiltonian structure. As its reduction cases, the multicomponent (2+1)-dimensional Glachette--Johnson (GJ) hierarchy is given. Finally, the super-integrable coupling system of multicomponent (2+1)-dimensional GJ hierarchy is established through enlarging the spectral problem.
中图分类号: (Solitons)