Physics – Classical Physics
Scientific paper
2005-11-16
Physica A 354 (2005) 249-261
Physics
Classical Physics
LaTeX, 16 pages, 2 figures
Scientific paper
10.1016/j.physa.2005.02.047
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.
Tarasov Vasily E.
Zaslavsky George M.
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