a School of Mathematics, Liaoning Normal University, Dalian 116029, China; b Department of Control Engineering, Shandong University at Weihai, Weihai 264209, China
Abstract A new isospectral problem is established by constructing a simple interesting loop algebra. A commutation operation of the loop algebra is as straightforward as the loop algebra $\tilde{A}_1$. It follows that a type of multi-component integrable hierarchy is obtained. This can be used as a general method.
Received: 29 December 2003
Revised: 30 March 2004
Accepted manuscript online:
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