1 research outputs found
Multidimensional Quadrilateral Lattices are Integrable
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.Comment: 18 pages, LaTeX, 6 Postscript figure