An extension of integrable equations related to AKNS and WKI spectral problems and their reductions

doi:10.1088/1674-1056/27/4/040201

中国物理B ›› 2018, Vol. 27 ›› Issue (4): 40201-040201.doi: 10.1088/1674-1056/27/4/040201

• TOPIC REVIEW—Thermal and thermoelectric properties of nano materials • 下一篇

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

收稿日期:2018-01-02 修回日期:2018-01-12 出版日期:2018-04-05 发布日期:2018-04-05
通讯作者: Yun-Yun Zhai E-mail:zhaiyy@zzu.edu.cn
基金资助:
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).

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

Received:2018-01-02 Revised:2018-01-12 Online:2018-04-05 Published:2018-04-05
Contact: Yun-Yun Zhai E-mail:zhaiyy@zzu.edu.cn
Supported by:
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).

摘要/Abstract

摘要：

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.

关键词: integrable extension, nonlinear evolution equations, infinite conservation laws

Abstract:

Key words: integrable extension, nonlinear evolution equations, infinite conservation laws

中图分类号: (Partial differential equations)

02.30.Jr

02.30.Ik (Integrable systems)

耿献国, 翟云云. An extension of integrable equations related to AKNS and WKI spectral problems and their reductions[J]. 中国物理B, 2018, 27(4): 40201-040201.

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[J]. Chin. Phys. B, 2018, 27(4): 40201-040201.

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An extension of integrable equations related to AKNS and WKI spectral problems and their reductions

An extension of integrable equations related to AKNS and WKI spectral problems and their reductions

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