School of Mathematics, Liaoning Normal University, Dalian 116029, China; 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.