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An extension of integrable equations related to AKNS and WKI spectral problems and their reductions |
| Xian-Guo Geng(耿献国), Yun-Yun Zhai(翟云云) |
| School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China |
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Abstract A novel hierarchy of integrable nonlinear evolution equations related to the combined Ablowitz-Kaup-Newell-Segur (AKNS) and Wadati-Konno-Ichikawa (WKI) spectral problems is proposed, from which the Lax pair for a corresponding negative flow and its infinite many conservation laws are obtained. Furthermore, a reduction of this hierarchy is discussed, by which a generalized sinh-Gordon equation is derived on the basis of its negative flow.
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Received: 02 January 2018
Revised: 12 January 2018
Accepted manuscript online:
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PACS:
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02.30.Jr
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(Partial differential equations)
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02.30.Ik
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(Integrable systems)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11501520 and 11331008) and the Outstanding Young Talent Research Fund of Zhengzhou University (Grant No. 1521315001). |
Corresponding Authors:
Yun-Yun Zhai
E-mail: zhaiyy@zzu.edu.cn
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Cite this article:
Xian-Guo Geng(耿献国), Yun-Yun Zhai(翟云云) An extension of integrable equations related to AKNS and WKI spectral problems and their reductions 2018 Chin. Phys. B 27 040201
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