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.

引用

页码：249 / 261

页数：13

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