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A type of multi-component integrable hierarchy
Authors:Zhang Yu-Feng and Zhang Yu-Sen
Institution: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.
Keywords:loop algebra  multi-component integrable system  integrable coupling
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