On Integrability and Chaos in Discrete Systems
M. J. Ablowitz, Y. Ohta, A. D. Trubatch
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.
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