Fractional Ginzburg-Landau equation for fractal media
Classical Physics
2016-09-08 v1 Materials Science
Other Condensed Matter
Statistical Mechanics
Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.physics/0511144,
title = {Fractional Ginzburg-Landau equation for fractal media},
author = {Vasily E. Tarasov and George M. Zaslavsky},
journal= {arXiv preprint arXiv:physics/0511144},
year = {2016}
}
Comments
LaTeX, 16 pages, 2 figures