,Painlevé integrability of the supersymmetric Ito equation

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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.
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