Fractional Ginzburg-Landau equation for fractal media

被引：166
|
作者：
Tarasov, VE [1 ]
Zaslavsky, GM
机构：
[1] Moscow MV Lomonosov State Univ, Skobeltsyn Inst Nucl Phys, Moscow 119992, Russia
[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA
[3] NYU, Dept Phys, New York, NY 10003 USA
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2005年 / 354卷
基金：
美国国家科学基金会;
关键词：
fractional equation; fractional derivatives and integrals fractal medium; Ginzburg-Landau equation;
D O I：
10.1016/j.physa.2005.02.047
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We derive the fractional generalization of the Ginzburg-Landau equation from the variational Euler-Lagrange equation for fractal media. To describe fractal media we use the fractional integrals considered as approximations of integrals on fractals. Some simple solutions of the Ginzburg-Landau equation for fractal media are considered and different forms of the fractional Ginzburg-Landau equation or nonlinear Schrodinger equation with fractional derivatives are presented. The Agrawal variational principle and its generalization have been applied. (c) 2005 Elsevier B.V. All rights reserved.
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页码：249 / 261
页数：13
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