Algebro‐geometric constructions of the Wadati‐Konno‐Ichikawa flows and applications |
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| Authors: | Zhu Li Xianguo Geng Liang Guan |
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| Affiliation: | 1. College of Mathematics and Information Science, Xinyang Normal University, Xinyang, Henan, China;2. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan, China |
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| Abstract: | With the aid of Lenard recursion equations, we derive the Wadati–Konno–Ichikawa hierarchy. Based on the Lax matrix, an algebraic curve  of arithmetic genus n is introduced, from which Dubrovin‐type equations and meromorphic function φ are established. The explicit theta function representations of solutions for the entire WKI hierarchy are given according to asymptotic properties of φ and the algebro‐geometric characters of  . Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | WKI hierarchy algebro‐geometric constructions subclass37K10 14K70 |
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