Painlevé integrability of the supersymmetric Ito equation

doi:10.1088/1674-1056/ab38a7

Abstract

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.

Keywords: supersymmetric Ito equation Painlevé analysis integrability

Received: 20 May 2019
Revised: 23 June 2019
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)
	47.35.Fg	(Solitary waves)

Fund:

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).

Corresponding Authors: Jun Yu
E-mail: junyu@usx.edu.cn

Cite this article:

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 2019 Chin. Phys. B 28 090201

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Painlevé integrability of the supersymmetric Ito equation

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