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Painlevé integrability of the supersymmetric Ito equation

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【Author】 Feng-Jie Cen;Yan-Dan Zhao;Shuang-Yun Fang;Huan Meng;Jun Yu;Department of Physics, Shaoxing University;

【通讯作者】俞军;

【机构】 Department of Physics, Shaoxing University；

【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.更多还原

【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.更多还原

【关键词】 supersymmetric Ito equation； Painlevé analysis； integrability；
【Key words】 supersymmetric Ito equation； Painlevé analysis； integrability；

【基金】 Project supported by the National Natural Science Foundation of China(Grant Nos.11975156 and 11775146);the Natural Science Foundation of Zhejiang Province,China(Grant No.LY18A050001)

【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2019年09期

【分类号】O175
【被引频次】2
【下载频次】16

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