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Author(s):
L. Hadzievski, M.M. Skoric and T. Sato
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Title:
On Origin and Dynamics of the Discrete NLS Equation
Date of publication:
Nov. 2000
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Key words:
discrete NLS equation, numerical simulation, solitons, chaos
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Abstract:
We investigate soliton-like dynamics in the descrete nonlinear Schroedinger equation (DNLSE) describing the generic 3-element descrete nonlinear system with a dispersion. The DNLSE (1+2) is solved on the 3 x N descrete lattice, where N is the variable number introduced through the descretized dispersion term. In quasi-linear and strongly nonlinear regimes the evolution shows robustness with respect to the N variation. However, the intermediate regime often exhibiting chaos, appears highly sensitive to the number of descrete points, making an exact solving of the DNLSE (1+2) a dubious task. We briefly outline implications on other continuum models alike the NLSE.
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