Results 21 to 30 of about 1,068 (186)
The world of the complex Ginzburg-Landau equation [PDF]
Reviews of Modern Physics, 2002 Submitted to Reviews of Modern Physics, reduced resolution ...
Aranson, Igor S., Kramer, Lorenz
openaire +2 more sources
Electrodynamics of s-Wave Superconductors Using First-Order Formalism
Condensed Matter, 2017 In this paper we give a derivation of a system of equations which generalize the London brothers and Ginzburg–Landau systems of equations, to describe the electrodynamics of s-wave superconductors.
Naoum Karchev
doaj +1 more source
Pulses and snakes in Ginzburg–Landau equation [PDF]
Nonlinear Dynamics, 2014 30 pages, 14 ...
Mancas, Stefan C., Choudhury, Roy S.
openaire +3 more sources
Frequency-Uniform Decomposition, Function Spaces , and Applications to Nonlinear Evolution Equations
Journal of Function Spaces and Applications, 2013 By combining frequency-uniform decomposition with (), we introduce a new class of function spaces (denoted by ). Moreover, we study the Cauchy problem for the generalized NLS equations and Ginzburg-Landau equations in .
Shaolei Ru, Jiecheng Chen
doaj +1 more source
A Model for Vortex Nucleation in the Ginzburg–Landau Equations [PDF]
Journal of Nonlinear Science, 2017 19 pages, 0 ...
Gautam Iyer, Daniel Spirn
openaire +4 more sources
BOUNDARY PROBLEMS FOR THE GINZBURG–LANDAU EQUATION [PDF]
Communications in Contemporary Mathematics, 2005 We provide a study at the boundary for a class of equations including the Ginzburg–Landau equation as well as the equation of travelling waves for the Gross–Pitaevskii model. We prove Clearing-Out results and an orthogonal anchoring condition of the vortex on the boundary for the Ginzburg–Landau equation with magnetic field.
openaire +3 more sources
On the bifurcation theory of the Ginzburg–Landau equations
, 2023 We construct nonminimal and irreducible solutions to the Ginzburg-Landau equations on closed manifolds of arbitrary dimension with trivial first real cohomology. Our method uses bifurcation theory where the "bifurcation points" are characterized by the eigenvalues of a Laplace-type operator.
Nagy, Ákos, Oliveira, Gonçalo
openaire +2 more sources
Multisoliton Solutions of the Complex Ginzburg-Landau Equation [PDF]
Physical Review Letters, 1997 We present novel stable solutions which are soliton pairs and trains of the ID complex Ginzburg-Landau equation (CGLE), and analyze them. We propose that the distance between the pulses and the phase difference between them is defined by energy and momentum balance equations.
Akhmediev, N. +2 more
openaire +2 more sources
Advances in Difference Equations, 2020 In this paper, we consider a class of nonautonomous discrete p-Laplacian complex Ginzburg–Landau equations with time-varying delays. We prove the existence and uniqueness of pullback attractor for these equations.
Xiaoqin Pu, Xuemin Wang, Dingshi Li
doaj +1 more source
On Abrikosov Lattice Solutions of the Ginzburg-Landau Equation [PDF]
Mathematical Modelling of Natural Phenomena, 2013 15 ...
Tzaneteas, Timmy, Sigal, I.M.
openaire +4 more sources