Cheng, Yi; Wang, Cunqi; Tian, Chou; Li, Yishen Connections among symmetries, Bäcklund transformation and the Painlevé property for Burger’s hierarchies. (Chinese. English summary) Zbl 0743.35066 Acta Math. Appl. Sin. 14, No. 2, 180-184 (1991). Summary: The connections among symmetries, the Bäcklund transformation and the Painlevé property for Burgers hierarchies are discussed. Firstly, the Bäcklund transformation is constructed by means of the symmetries; then according to the symmetries and Bäcklund transformation, the Painlevé property for Burgers hierarchies can be analysed. Cited in 4 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 58J72 Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds PDFBibTeX XMLCite \textit{Y. Cheng} et al., Acta Math. Appl. Sin. 14, No. 2, 180--184 (1991; Zbl 0743.35066)