English

On Integrability and Chaos in Discrete Systems

solv-int 2007-05-23 v1 Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.solv-int/9810020,
  title  = {On Integrability and Chaos in Discrete Systems},
  author = {M. J. Ablowitz and Y. Ohta and A. D. Trubatch},
  journal= {arXiv preprint arXiv:solv-int/9810020},
  year   = {2007}
}

Comments

14 pages, 1 figure, 2 tables

R2 v1 2026-07-22T20:08:51.329Z