Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
760270 | Communications in Nonlinear Science and Numerical Simulation | 2007 | 13 Pages |
Abstract
A one-dimensional chain of coupled oscillators with the long-range power-law interactions is considered. Equations 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 is obtained numerically and compared for two types of simulations: using the chain of oscillators and using the continuous medium equation with the fractional derivative.
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Authors
Nickolay Korabel, George M. Zaslavsky, Vasily E. Tarasov,