Multi‐component integrable couplings for the Ablowitz–Kaup–Newell–Segur and Volterra hierarchies |
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| Authors: | Shoufeng Shen Chunxia Li Yongyang Jin Shuimeng Yu |
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| Institution: | 1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, China;2. School of Mathematical Sciences, Capital Normal University, Beijing, China;3. School of Sciences, Jiangnan University, Wuxi, China |
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| Abstract: | A kind of N × N non‐semisimple Lie algebra consisting of triangular block matrices is used to generate multi‐component integrable couplings of soliton hierarchies from zero curvature equations. Two illustrative examples are made for the continuous Ablowitz–Kaup–Newell–Segur hierarchy and the semi‐discrete Volterra hierarchy, together with recursion operators. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | integrable coupling AKNS hierarchy Volterra hierarchy zero curvature equation subclass |
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