A Few Integrable Couplings of Some Integrable Systems and (2+1)-Dimensional Integrable Hierarchies

作者：Feng, Binlu^*; Zhang, Yufeng; Dong, Huanhe

来源：Abstract and Applied Analysis, 2014, 2014: 932672.

DOI：10.1155/2014/932672

• HAMILTONIAN-STRUCTURE
• TRACE IDENTITY
• EQUATIONS
• REDUCTIONS
• GENERATE

Two high-dimensional Lie algebras are presented for which four (1 + 1)-dimensional expanding integrable couplings of the D-AKNS hierarchy are obtained by using the Tu scheme; one of them is a united integrable coupling model of the D-AKNS hierarchy and the AKNS hierarchy. Then (2 + 1)-dimensional DS hierarchy is derived by using the TAH scheme; in particular, the integrable couplings of the DS hierarchy are obtained.

• 出版日期2014
• 单位山东科技大学; 潍坊学院; 中国矿业大学（北京）