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Ablowitz, Mark J.; Ohta, Yasuhiro; Trubatch, A. David

On integrability and chaos in discrete systems. (English) Zbl 1160.37413

Chaos Solitons Fractals 11, No. 1-3, 159-169 (2000).
Summary: The scalar nonlinear Schrödinger (NLS) equation and a suitable discretization are well known 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.
© Elsevier Science Ltd

Cited in 8 Documents

MSC:

37K60 Lattice dynamics; integrable lattice equations
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