Xia, Tiecheng Auto-Bäcklund transformation and exact analytical solutions for the Kupershmidt equation. (English) Zbl 1038.35087 Appl. Math. E-Notes 3, 171-177 (2003). Summary: The homogeneous balance method [M. L. Wang, Phys. Lett. A 199, 169–172 (1995; Zbl 1020.35528)] is improved and applied to the Kupershmidt equation. As a result, some families of exact analytical solutions are derived. Cited in 1 Document MSC: 35Q51 Soliton equations 35C05 Solutions to PDEs in closed form 37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems Citations:Zbl 1020.35528 PDFBibTeX XMLCite \textit{T. Xia}, Appl. Math. E-Notes 3, 171--177 (2003; Zbl 1038.35087) Full Text: EuDML EMIS