Liu, Q. P.; Hu, Xing-Biao Bilinearization of \(N=1\) supersymmetric Korteweg-de Vries equation revisited. (English) Zbl 1080.35122 J. Phys. A, Math. Gen. 38, No. 28, 6371-6378 (2005). Summary: We consider the \(N=1\) supersymmetric Korteweg-de Vries (sKdV) equation within the framework of Hirota’s bilinear method. We construct a Bäcklund transformation which may be interpreted as the modified sKdV equation. Also, we find a Lax representation and a nonlinear superposition formula. By direct applications of the nonlinear superposition formula, we calculate soliton solutions for the sKdV equation. Cited in 19 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems Keywords:Hirota’s bilinear method; Bäcklund transformation; Lax representation; soliton PDFBibTeX XMLCite \textit{Q. P. Liu} and \textit{X.-B. Hu}, J. Phys. A, Math. Gen. 38, No. 28, 6371--6378 (2005; Zbl 1080.35122) Full Text: DOI