Results 21 to 30 of about 33,545 (214)
Fractional Ginzburg–Landau equation for fractal media [PDF]
Physica A: Statistical Mechanics and its Applications, 2005 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 ...
Tarasov, Vasily E., Zaslavsky, George M.
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Results in Physics, 2021 This article obtains the optical solitons of the complex fractional Ginzburg–Landau equation by the hypothesis of traveling wave and generalized projective Riccati equation scheme.
Saima Arshed +4 more
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The equation of state for metal-doped ferroelectrics within the Weiss model
Journal of Advanced Dielectrics, 2022 This paper presents a theoretical model for describing the thermodynamic properties of doped ferroelectric crystals based on a modified Weiss mean-field approach.
Ivan A. Starkov +2 more
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Instability of the steady states of some Ginzburg–Landau-like equations with real coefficients [PDF]
, 2005 The instability of the steady states with nonconstant amplitude is analysed for a nonlocal Ginzburg–Landau equation with real coefficients and quasiperiodic boundary conditions.
Adams R A +26 more
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Nonstationary Superconductivity: Quantum Dissipation and Time-Dependent Ginzburg-Landau Equation
Advances in Condensed Matter Physics, 2011 Transport equations of the macroscopic superfluid dynamics are revised on the basis of a combination of the conventional (stationary) Ginzburg-Landau equation and Schrödinger's equation for the macroscopic wave function (often called the order parameter)
Anatoly A. Barybin
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A Fourth Order Energy Dissipative Scheme for a Traffic Flow Model
Mathematics, 2020 We propose, analyze and numerically validate a new energy dissipative scheme for the Ginzburg–Landau equation by using the invariant energy quadratization approach.
Xiaowei Chen, Mingzhan Song, Songhe Song
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Conservative Finite-Difference Scheme for 1D Ginzburg–Landau Equation
Mathematics, 2022 In this study, our attention is focused on deriving integrals of motion (conservation laws; invariants) for the problem of an optical pulse propagation in an optical fiber containing an optical amplifier or attenuator because, to date, such invariants ...
Vyacheslav Trofimov +5 more
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Results in Physics, 2023 This article investigates the significance of the unsteady nonlinear Landau–Ginzburg–Higgs equation in the context of superfluids and Bose–Einstein condensates. The problem of interest is the search for new exact solutions within this equation. To tackle
Shafiq Ahmad +6 more
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Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossover
, 2009 The Ginzburg-Landau theory of a trapped Fermi gas with a BEC-BCS crossover is derived by the path-integral method. In addition to the standard Ginzburg-Landau equation, a second equation describing the total atom density is obtained.
Huang, Kun, Yin, Lan, Yu, Zeng-Qiang
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Complex Ginzburg-Landau equation with nonlocal coupling [PDF]
Physical Review E, 2003 A Ginzburg-Landau-type equation with nonlocal coupling is derived systematically as a reduced form of a universal class of reaction-diffusion systems near the Hopf bifurcation point and in the presence of another small parameter. The reaction-diffusion systems to be reduced are such that the chemical components constituting local oscillators are ...
Tanaka, D, Kuramoto, Y
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