On Integrability and Chaos in Discrete Systems

1998/10/29 by M. J. Ablowitz, Y. Ohta, Ablowitz, M. J. +3 · 1 citation
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9810020

14 pages, 1 figure, 2 tables

arxiv created 1998/10/29 · arxiv updated 2009/11/30

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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