On Integrability and Chaos in Discrete Systems

Details On Integrability and Chaos in Discrete Systems On Integrability and Chaos in Discrete Systems

1998-10-29

arxiv.org/abs/solv-int/9810020v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages, 1 figure, 2 tables

Scientific paper

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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