Results 91 to 100 of about 6,386,161 (167)

Dynamic analysis and derivation of new optical soliton solutions for the modified complex Ginzburg-Landau model in communication systems

Alexandria Engineering Journal
This study mainly focuses on finding new forms of optical soliton solutions of a modified complex Ginzburg-Landau equation. A versatile integration approach, the extended sinh-Gordon expansion technique is utilized.
Nauman Raza, A. Jaradat, Ghada Ali Basendwah, Amna Batool, M.M.M. Jaradat   +4 more
doaj   +1 more source

Dynamic properties and chaotic behaviors of pure-cubic complex Ginzburg–Landau equation with different nonlinearities

Results in Physics
This paper investigates the pure-cubic complex Ginzburg–Landau equation (PC-CGLE) with different nonlinearities such as Kerr law, power law and so on.
Yining Wang, Zhixiang Yin, Lin Lu, Yue Kai   +3 more
doaj   +1 more source

The Hopf bifurcation and spiral wave solution of the complex Ginzburg-Landau equation

, 2002
When the dispersive and diffusive effects are negligible, the complex Ginzburg-Landau equation degenerates, in form, as the Landau equation, in which occurs the Hopf bifurcation.
Zuntao Fu, Zhao, Q, Qiang Zhao, Fu, ZT, Liu, SD, Shida Liu, Shikuo Liu, Liu, SK   +7 more
core   +1 more source

Blow-up of solutions for weakly coupled systems of complex Ginzburg-Landau equations

Electronic Journal of Differential Equations, 2017
Blow-up phenomena of weakly coupled systems of several evolution equations, especially complex Ginzburg-Landau equations is shown by a straightforward ODE approach, not by the so-called test-function method used in [38] which gives the natural blow-up
Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi   +2 more
doaj  

Ginzburg-Landau Model for Stability Analysis of Fluid Flows

A general scheme for the solution of stability problems for two-dimensional flows (the Navier-Stokes equations and shallow water equations) by means of a weakly nonlinear theory is analyzed in the paper. Equations of the first, second and the third order
Eglīte, Irina, Koliškins, Andrejs
core  

Bifurcating Vortex Solutions Of The Complex Ginzburg-Landau Equation

, 2007
. It is shown that the complex Ginzburg-Landau (CGL) equation on the real line admits nontrivial 2ß-periodic vortex solutions that have 2n simple zeros ("vortices") per period.
Dr. Hans, Hans G. Kaper, Peter Takac, G. Kaper   +3 more
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Optical Soliton Solutions and Modulation Instability of the Higher-Order Complex Cubic-Quintic Ginzburg–Landau Equation

Advances in Mathematical Physics
The propagation of ultrashort optical pulses in nonlinear dissipative media is investigated through a generalized higher-order cubic–quintic complex Ginzburg–Landau equation (HG CQ-CGLE) incorporating third-order dispersion (TOD), fourth-order dispersion
Alfred Dang A Mekoung, Nicodème Djiedeu, Jean Pierre Nguenang   +2 more
doaj   +1 more source

Analysis of iterative methods for solving a Ginzburg-Landau equation

, 2005
. Very recently we have proposed to use a complex Ginzburg-Landau equation for high contrast inpainting, to restore higher dimensional (volumetric) data (which has applications in frame interpolation), improving sparsely sampled data and to fill in ...
Alfio Borzi, Harald Grossauer, Otmar Scherzer   +2 more
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Aging phenomena in the two-dimensional complex Ginzburg-Landau equation

, 2019
The complex Ginzburg-Landau equation with additive noise is a stochastic partial differential equation that describes a remarkably wide range of physical systems which include coupled non-linear oscillators subject to external noise near a Hopf ...
Liu, Weigang, Täuber, Uwe C.
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Inviscid Limits of the Complex Ginzburg-Landau Equation

, 2007
In the inviscid limit the generalized complex Ginzburg-Landau equation reduces to the nonlinear Schrodinger equation. This limit is proved rigorously with H 1 data in the whole space for the Cauchy problem and in the torus with periodic boundary ...
Philippe Bechouche, Ansgar Jüngel
core