1997/07/21 by Q. P. Liu, Q.P. Liu, Manuel Mañas
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #dg-ga #math.DG #nlin.SI #solv-int
paper · pdf · doi:10.1016/s0393-0440(97)00074-0
9 pages, LaTeX2e using Babel and AMS-LaTex packages
arxiv created 1997/07/21 · openalex publication_date 1998/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Sequences of Levy transformations for the Darboux system of conjugates nets in multidimensions are studied. We show that after a suitable number of Levy transformations, with at least a Levy transformation in each direction, we get closed formulae in terms of multi-Wroński determinants. These formulae are for the tangent vectors, Lamè coefficients, rotation coefficients and points of the surface.