摘要
By use of a (2 + 1)-dimensional zero-curvature equation and Tu scheme, a (2 + 1)-dimensional Multi-component integrable hierarchy is obtained. As reduction cases, the (2 + 1)-dimensional Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and Kaup-Newell (KN) hierarchy are engendered, respectively. Taking advantage of the expanding loop algebra (F) over tilde (M) of the loop algebra (G) over tilde (M), a type of expanding Lax integrable model ofthe above-nientioned (2 + 1)-dimensional multi-component integrable hierarchy, i.e. integrable couplings, is worked out.
- 出版日期2007-5
- 单位山东大学