Coupled oscillators with power-law interaction and their fractional dynamics analogues
نویسندگان
چکیده
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 types of simulations: using the chain of oscillators and using the continuous medium equation with the fractional derivative. PACS: 45.05.+x; 45.50.-j; 45.10.Hj
منابع مشابه
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