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On Integrability and Chaos in Discrete Systems

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arxiv solv-int/9810020 v1 pith:HE65KEH2 submitted 1998-10-29 solv-int nlin.SI

M. J. Ablowitz , Y. Ohta , A. D. Trubatch This is my paper · ORCID
classification solv-intnlin.SI
keywords discretechaosequationintegrabilitysystemsvectorattentioncontinuous
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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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Cited by 1 Pith paper

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  1. Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice

    nlin.SI 2025-09 conditional novelty 6.0 of 10

    Two new semi-discrete multi-component integrable systems with explicit Lax pairs and local conservation laws are constructed on a quasi-one-dimensional lattice.

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