{
  "id": "math-ph/0603074",
  "version": "v1",
  "published": "2006-03-28T20:02:01.000Z",
  "updated": "2006-03-28T20:02:01.000Z",
  "title": "Coupled oscillators with power-law interaction and their fractional dynamics analogues",
  "authors": [
    "Nickolay Korabel",
    "George M. Zaslavsky",
    "Vasily E. Tarasov"
  ],
  "comment": "16 pages, 5 figures",
  "doi": "10.1016/j.cnsns.2006.03.015",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "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 $\\alpha$, 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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-28T20:02:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional dynamics analogues",
      "coupled oscillators",
      "long-range power-law interaction",
      "fractional derivative",
      "continuous medium equation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}