dorsal/arxiv
View SchemaFractional Ginzburg-Landau equation for fractal media
| Authors | Vasily E. Tarasov, George M. Zaslavsky |
|---|---|
| Categories | |
| ArXiv ID | physics/0511144 |
| URL | https://arxiv.org/abs/physics/0511144 |
| DOI | 10.1016/j.physa.2005.02.047 |
| Journal | Physica A 354 (2005) 249-261 |
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.
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"abstract": "We derive the fractional generalization of the Ginzburg-Landau equation from\nthe variational Euler-Lagrange equation for fractal media. To describe fractal\nmedia we use the fractional integrals considered as approximations of integrals\non fractals. Some simple solutions of the Ginzburg-Landau equation for fractal\nmedia are considered and different forms of the fractional Ginzburg-Landau\nequation or nonlinear Schrodinger equation with fractional derivatives are\npresented. The Agrawal variational principle and its generalization have been\napplied.",
"arxiv_id": "physics/0511144",
"authors": [
"Vasily E. Tarasov",
"George M. Zaslavsky"
],
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"physics.class-ph",
"cond-mat.mtrl-sci",
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"cond-mat.stat-mech",
"math-ph",
"math.MP",
"nlin.CD"
],
"doi": "10.1016/j.physa.2005.02.047",
"journal_ref": "Physica A 354 (2005) 249-261",
"title": "Fractional Ginzburg-Landau equation for fractal media",
"url": "https://arxiv.org/abs/physics/0511144"
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