Results 1 to 10 of about 36,135 (246)

Soliton turbulence in the complex Ginzburg-Landau equation [PDF]

Physical Review E, 2007
We study spatio-temporal chaos in the complex Ginzburg-Landau equation in parameter regions of weak amplification and viscosity. Turbulent states involving many soliton-like pulses appear in the parameter range, because the complex Ginzburg-Landau ...
Hidetsugu Sakaguchi
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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
doaj   +2 more sources

Thermodynamic Limit Of The Ginzburg-Landau Equations [PDF]

Nonlinearity, 1993
We investigate the existence of a global semiflow for the complex Ginzburg-Landau equation on the space of bounded functions in unbounded domain. This semiflow is proven to exist in dimension 1 and 2 for any parameter values of the standard cubic ...
Babin A V, Collet P, Collet P, Duan J, Duan J, Duan J, Eckhaus W, Friedman A, Henry D, Iooss G, Iooss G, Kato T, Matkowsky B J, Mielke A, Newell A, P Collet, Pazy A, Schneider G, Segel L, Solonnikov V A, van Harten A, Yang Y   +21 more
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VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION [PDF]

Forum of Mathematics, Sigma, 2014
We establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions.
MATTHIAS KURZKE, DANIEL SPIRN
doaj   +5 more sources

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
openalex   +4 more sources

Pulses and Snakes in Ginzburg--Landau Equation [PDF]

Nonlinear Dynamics, 2014
Using a variational formulation for partial differential equations (PDEs) combined with numerical simulations on ordinary differential equations (ODEs), we find two categories (pulses and snakes) of dissipative solitons, and analyze the dependence of ...
Choudhury, S. Roy, Mancas, Stefan C.
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Nonequilibrium Dynamics in the Complex Ginzburg-Landau Equation [PDF]

Physical Review E, 2001
We present results from a comprehensive analytical and numerical study of nonequilibrium dynamics in the 2-dimensional complex Ginzburg-Landau (CGL) equation.
A. Weber, A.J. Bray, A.J. Bray, A.J. Bray, A.N. Pargellis, B. Yurke, F. Rojas, G.F. Mazenko, G.F. Mazenko, G.F. Mazenko, H. Chate, H. Chate, H. Toyoki, I.S. Aranson, K. Binder, M. C. Cross, M.C. Cross, P.S. Hagan, S. K. Das, S. Puri, Sanjay Puri, Subir K. Das, T. Ohta, W. van Saarloos, Y. Kuramoto   +24 more
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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, G.A. Chechkin, V.V. Chepyzhov, A.A. Tolemis   +3 more
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Reliability of the Ginzburg–Landau Theory in the BCS-BEC Crossover by Including Gaussian Fluctuations for 3D Attractive Fermions

Condensed Matter, 2021
We calculate the parameters of the Ginzburg–Landau (GL) equation of a three-dimensional attractive Fermi gas around the superfluid critical temperature.
Filippo Pascucci, Andrea Perali, Luca Salasnich   +2 more
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Solving Nonlinear Fractional Models in Superconductivity Using the q-Homotopy Analysis Transform Method

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, M. Maneea, Mohamed S. Mohamed   +2 more
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