Coupled oscillators with power-law interaction and their fractional dynamics analogues

Abstract

The one-dimensional chain of coupled oscillators with long-range power-law interaction is considered. The equation of motion in the infrared limit are mapped onto the continuum equation with the Riesz fractional derivative of order α, when 0 < α < 2. The evolution of soliton-like and breather-like structures are obtained numerically and compared for both… (More)

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Cite this paper

@inproceedings{Korabel2006CoupledOW, title={Coupled oscillators with power-law interaction and their fractional dynamics analogues}, author={Nickolay Korabel and George Zaslavsky and Vasily E. Tarasov}, year={2006} }