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Nonstationary Superconductivity: Quantum Dissipation and Time-Dependent Ginzburg-Landau Equation [PDF]
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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Psi-series solution of fractional Ginzburg–Landau equation [PDF]
, 2006 One-dimensional Ginzburg-Landau equations with derivatives of noninteger order are considered. Using psi-series with fractional powers, the solution of the fractional Ginzburg-Landau (FGL) equation is derived.
Vasily E. Tarasov
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Convection in rotating annuli: Ginzburg-Landau equations with tunable coefficients [PDF]
, 1997 The coefficients of the complex Ginzburg-Landau equations that describe weakly nonlinear convection in a large rotating annulus are calculated for a range of Prandtl numbers $\sigma$.
Martin van Hecke, Wim van Saarloos
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Localized structures in coupled Ginzburg-Landau equations [PDF]
Physics Letters A, 2000 Coupled Complex Ginzburg-Landau equations describe generic features of the dynamics of coupled fields when they are close to a Hopf bifurcation leading to nonlinear oscillations.
Conte +12 more
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Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise [PDF]
Abstract and Applied Analysis, 2014 Long time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval I in R.
Yangrong Li, Hongyong Cui
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New Analytical Solutions of Fractional Complex Ginzburg-Landau Equation
Universal Journal of Mathematics and Applications, 2020 In recent years, nonlinear concepts have attracted a lot of attention due to the deep mathematics and physics they contain. In explaining these concepts, nonlinear differential equations appear as an inevitable tool.
Ali Tozar
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Soliton turbulence in the complex Ginzburg-Landau equation [PDF]
Physical Review E, 2007 5 ...
Hidetsugu Sakaguchi
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Homogenization of Attractors to Ginzburg-Landau Equations in Media with Locally Periodic Obstacles: Critical Case [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper the Ginzburg-Landau equation is considered in locally periodic porous medium, with rapidly oscillating terms in the equation and boundary conditions.
K.A. Bekmaganbetov +3 more
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Alexandria Engineering Journal, 2021 We propose new numerical methods with adding a modified ordinary differential equation solver to the Milstein methods for solution of stiff stochastic systems.
Kazem Nouri +3 more
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Journal of Mathematics, 2023 The Ginzburg–Landau (GL) equation and the Ginzburg–Landau couple system are important models in the study of superconductivity and superfluidity. This study describes the q-homotopy analysis transform method (q-HATM) as a powerful technique for solving ...
Khalid K. Ali +2 more
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