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

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

2006-03-28

arxiv.org/abs/math-ph/0603074v1

Physics

Mathematical Physics

16 pages, 5 figures

Scientific paper

10.1016/j.cnsns.2006.03.015

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 $\alpha$, when $0<\alpha<2$. 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.

Affiliated with

Also associated with

No associations

Rating

Coupled oscillators with power-law interaction and their fractional dynamics analogues does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Coupled oscillators with power-law interaction and their fractional dynamics analogues, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coupled oscillators with power-law interaction and their fractional dynamics analogues will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-586380