Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9727637 | Physica A: Statistical Mechanics and its Applications | 2005 | 13 Pages |
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 Schrödinger equation with fractional derivatives are presented. The Agrawal variational principle and its generalization have been applied.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Vasily E. Tarasov, George M. Zaslavsky,