1996/12/19 by Adam Doliwa, A. Doliwa, P. M. Santini +1 · 1 citation
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-lat #nlin.SI #solv-int
paper · pdf · doi:10.1016/s0375-9601(97)00456-8
published as Phys. Lett. A 233 (1997) 365. · 18 pages, LaTeX, 6 Postscript figures
arxiv created 1996/12/19 · openalex publication_date 1997/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The notion of multidimensional quadrilateral lattice is introduced. It is shown that such a lattice is characterized by a system of integrable discrete nonlinear equations. Different useful formulations of the system are given. The geometric construction of the lattice is also discussed and, in particular, it is clarified the number of initial--boundary data which define the lattice uniquely.