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A New Loop Algebra and Its Corresponding Multi-component Integrable Hierarchy |
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| Authors: | YAO Yu-Qin and CHEN Deng-Yuan |
| Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, China |
| Abstract: | A type of new loop algebra $\tilde{G}_M$ is constructed by making use of the concept of cycled numbers. As its application, an isospectral problem is designed and a new multi-component integrable hierarchy with multi-potential functions is worked out, which can be reduced to the famous KN hierarchy. |
| Keywords: | cycled numbers loop algebra multi-component integrable hierarchy |
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