On Integrability and Chaos in Discrete Systems
arXiv:solv-int/9810020
Abstract
The scalar nonlinear Schrodinger (NLS) equation and a suitable discretization are well known integrable systems which exhibit the phenomena of ``effective'' chaos. Vector generalizations of both the continuous and discrete system are discussed. Some attention is directed upon the issue of the integrability of a discrete version of the vector NLS equation.
14 pages, 1 figure, 2 tables