Fractional Ginzburg-Landau equation for fractal media
Tarasov, Vasily E. ; Zaslavsky, George M.
arXiv, 0511144 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-11-16
Classification:  Physics - Classical Physics,  Condensed Matter - Materials Science,  Condensed Matter - Other Condensed Matter,  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Nonlinear Sciences - Chaotic Dynamics 
@article{0511144,
     author = {Tarasov, Vasily E. and Zaslavsky, George M.},
     title = {Fractional Ginzburg-Landau equation for fractal media},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511144}
}

Tarasov, Vasily E.; Zaslavsky, George M. Fractional Ginzburg-Landau equation for fractal media. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511144/