Results 21 to 30 of about 1,304,743 (172)

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, Maria Loginova, Mikhail Fedotov, Daniil Tikhvinskii, Yongqiang Yang, Boyuan Zheng   +5 more
doaj   +1 more source

The exact solutions of the stochastic Ginzburg–Landau equation

Results in Physics, 2021
The main goal of this paper is to obtain the exact solutions of the stochastic real-valued Ginzburg–Landau equation, which is forced by multiplicative noise in the Itô sense.
Wael W. Mohammed, Hijaz Ahmad, Amjad E. Hamza, E.S. ALy, M. El-Morshedy, E.M. Elabbasy   +5 more
doaj   +1 more source

Two-dimensional discrete Ginzburg-Landau solitons [PDF]

, 2007
We study the two-dimensional discrete Ginzburg-Landau equation. In the linear limit, the dispersion and gain curves as well as the diffraction pattern are determined analytically.
Efremidis, NK, Christodoulides, Demetrios N., Hizanidis, Kyriakos, Christodoulides, DN, Hizanidis, K, Efremidis, Nikolaos K.   +5 more
core   +1 more source

Instabilities in a Non-Uniformly Rotating Medium with Stratification of the Temperature in an External Uniform Magnetic Field

East European Journal of Physics, 2019
In this paper the stability of the non-uniformly rotating cylindrical plasma in the axial uniform magnetic field with the vertical temperature gradient is investigated.
Michael Kopp, Anatoly Tur, Volodymyr Yanovsky   +2 more
doaj   +1 more source

Schrodinger-Chern-Simons vortex dynamics [PDF]

, 2006
We study the motion of vortices in the planar Ginzburg-Landau model with Schrodinger-Chern-Simons dynamics. We compare the moduli space approximation with the results of numerical simulations of the full field theory and find that there is agreement if ...
Paul Sutcliffe, Steffen Krusch, Sutcliffe, P.M., Krusch, S., Sutcliffe, Paul M., Krusch, Steffen   +5 more
core   +1 more source

Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian

Nonlinear Analysis, 2015
In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
doaj   +1 more source

Spatially Modulated Morphotropic Phase Boundaries in a Compressively Strained Multiferroic Thin Film

Advanced Functional Materials, EarlyView.
ABSTRACT The coexisting rhombohedral‐like (R′, MA) and tetragonal‐like (T′, MC) monoclinic phases in compressively strained bismuth ferrite thin films exhibit exceptional piezoelectric and magnetic properties. While previous studies have largely focused on probing the morphotropic phase boundaries (MPBs) comprising ordered R′/T′ twins, their self ...
Ting‐Ran Liu, Xiangwei Guo, Sajid Husain, Maya Ramesh, Pushpendra Gupta, Darrell Schlom, Ramamoorthy Ramesh, Yu‐Tsun Shao   +7 more
wiley   +1 more source

Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes [PDF]

, 2010
A priori and a posteriori error estimates are derived for the numerical approximation of scalar and complex valued phase field models. Particular attention is devoted to the dependence of the estimates on a small parameter and to the validity of the ...
Rüdiger Müller, Oleg Pikhurko (5364929), Pikhurko, Oleg, Christoph Ortner, Bohman, Tom, Tom Bohman (5364587), Ortner, Christoph, Bartels, Sören, Fonoberova, Maria, Maria Fonoberova (5366750), Müller, Rüdiger, Sören Bartels   +11 more
core   +1 more source

On the theory of current states in superconducting junctions of SNINS type

Condensed Matter Physics, 2006
The behavior of the order parameter close to the NS interface in an SNINS junction is considered. To this end, a linear integral equation, which is valid near the superconductor-normal metal interface, is obtained and researched.
V.E.Sakhnyuk, A.V.Svidzynskyj
doaj   +1 more source

VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION

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   +1 more source