A New Integrable Couplings of Classical-Boussinesq Hierarchy with Self-Consistent Sources

作者：Ge Jian-Ya^*; Xia Tie-Cheng

来源：Communications in Theoretical Physics, 2010, 54(1): 1-6.

• the classical-Boussinesq hierarchy
• self-consistent sources
• integrable couplings
• loop algebra

A kind of integrable couplings of soliton equations hierarchy with self-consistent sources associated with sl(4) is presented by Yu. Based on this method, we construct a new integrable couplings of the classical-Boussinesq hierarchy with self-consistent sources by using of loop algebra sl(4). In this paper, we also point out that there exist some errors in Yu's paper and have corrected these errors and set up new formula. The method can be generalized other soliton hierarchy with self-consistent sources.

• 出版日期2010-7-15
• 单位金华职业技术学院; 上海大学