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

被引：47

作者：

Korabel, Nickolay ^{[1
]}

Zaslavsky, George M. ^{[1
,2
]}

Tarasov, Vasily E. ^{[3
]}

机构：

[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[2] NYU, Dept Phys, New York, NY 10003 USA

[3] Moscow MV Lomonosov State Univ, Skobeltsyn Inst Nucl Phys, Moscow 119992, Russia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2007年 / 12卷 / 08期

关键词：

Long-range interaction; Fractional oscillator; Fractional equations;

D O I：

10.1016/j.cnsns.2006.03.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

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 alpha, when 0 < alpha < 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. (C) 2006 Elsevier B. V. All rights reserved.

引用

页码：1405 / 1417

页数：13

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