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High-Order Binary Symmetry Constraints of a Liouville Integrable Hierarchy and Its Integrable Couplings |
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| Authors: | CHEN Lan-Xin SUN Ye-Peng ZHANG Jun-Xian |
| Institution: | 1.China University of Mining and Technology, Beijing, 100083, China ;2.Department of Mathematics, Shijiazhuang University, Shijiazhuang 050035, China ;3.Institute of Computational Mathematics and Scientific Engineering Computing, AMSS, the Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, China |
| Abstract: | A 3×3 matrix spectral problem and a Liouville integrable hierarchy are constructed by designing a new subalgebra of loop algebra \tilde{A}2. Furthermore, high-order binary symmetry constraints of the corresponding hierarchy are obtained by using the binary nonlinearization method. Finally, according to another new subalgebra of loop algebra \tilde{A}2, its integrable couplings are established. |
| Keywords: | Liouville integrable hierarchy loop algebra symmetry constraint binary nonlinearization integrable coupling |
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