Painlevé integrability of the supersymmetric Ito equation

doi:10.1088/1674-1056/ab38a7

中国物理B ›› 2019, Vol. 28 ›› Issue (9): 90201-090201.doi: 10.1088/1674-1056/ab38a7

• GENERAL • 下一篇

Painlevé integrability of the supersymmetric Ito equation

Feng-Jie Cen(岑锋杰), Yan-Dan Zhao(赵燕丹), Shuang-Yun Fang(房霜韵), Huan Meng(孟欢), Jun Yu(俞军)

Department of Physics, Shaoxing University, Shaoxing 312000, China

收稿日期:2019-05-20 修回日期:2019-06-23 出版日期:2019-09-05 发布日期:2019-09-05
通讯作者: Jun Yu E-mail:junyu@usx.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11975156 and 11775146) and the Natural Science Foundation of Zhejiang Province, China (Grant No. LY18A050001).

Painlevé integrability of the supersymmetric Ito equation

Feng-Jie Cen(岑锋杰), Yan-Dan Zhao(赵燕丹), Shuang-Yun Fang(房霜韵), Huan Meng(孟欢), Jun Yu(俞军)

Department of Physics, Shaoxing University, Shaoxing 312000, China

Received:2019-05-20 Revised:2019-06-23 Online:2019-09-05 Published:2019-09-05
Contact: Jun Yu E-mail:junyu@usx.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11975156 and 11775146) and the Natural Science Foundation of Zhejiang Province, China (Grant No. LY18A050001).

摘要/Abstract

摘要：

A supersymmetric version of the Ito equation is proposed by extending the independent and dependent variables for the classic Ito equation. To investigate the integrability of the N=1 supersymmetric Ito (sIto) equation, a singularity structure analysis for this system is carried out. Through a detailed analysis in two cases by using Kruskal's simplified method, the sIto system is found to pass the Painlevé test, and thus is Painlevé integrable.

关键词: supersymmetric Ito equation, Painlevé, analysis, integrability

Abstract:

Key words: supersymmetric Ito equation, Painlevé, analysis, integrability

中图分类号: (Partial differential equations)

02.30.Jr

02.30.Ik (Integrable systems) 05.45.Yv (Solitons) 47.35.Fg (Solitary waves)

岑锋杰, 赵燕丹, 房霜韵, 孟欢, 俞军. Painlevé integrability of the supersymmetric Ito equation[J]. 中国物理B, 2019, 28(9): 90201-090201.

Feng-Jie Cen(岑锋杰), Yan-Dan Zhao(赵燕丹), Shuang-Yun Fang(房霜韵), Huan Meng(孟欢), Jun Yu(俞军). Painlevé integrability of the supersymmetric Ito equation[J]. Chin. Phys. B, 2019, 28(9): 90201-090201.

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Painlevé integrability of the supersymmetric Ito equation

Painlevé integrability of the supersymmetric Ito equation

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