Results 131 to 140 of about 2,507 (215)

Traveling wavetrains in the complex cubic-quintic Ginzburg-Landau equation

, 2006
In this paper, we use a traveling wave reduction or a so-called spatial approximation to comprehensively investigate the periodic solutions of the complex cubic-quintic Ginzburg-Landau equation. The primary tools used here are Hopf bifurcation theory and

core   +1 more source

Controlling turbulence in the complex Ginzburg-Landau equation

, 1996
We suggest that diffusion-induced turbulence in distributed dynamical systems near a supercritical Hopf bifurcation can be controlled by means of global delayed feedback.
A. Mikhailov, D. Battogtokh, Battogtokh, D., Mikhailov, A.   +3 more
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Complex Ginzburg-Landau equation

, 2002
WOS
openaire   +2 more sources

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  

Turbulence in the One-Dimensional Complex Ginzburg-Landau Equation

, 1995
The transition to phase and amplitude turbulent states in the one-dimensional complex Ginzburg-Landau equation is investigated by a numerical simulation. In order to describe existing attractors quantitatively, the largest Lyapunov exponent is estimated.
Zubrzycki, A.
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Bifurcation to Chaos in the complex Ginzburg-Landau equation with large third-order dispersion

, 2014
We give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg-Landau equation subject to a large third-order dispersion ...
Turaev, D, Ovsyannikov, II, Zelik, S
core  

A hybrid analytical-machine learning framework for data-driven modeling of soliton solutions in the complex Ginzburg-Landau equation. [PDF]

Sci Prog
Muhammad J, Tedjani AH, Yao F, Younas U.
europepmc   +1 more source

Implicit quiescent soliton perturbation in optical metamaterials with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's forms of self-phase modulation structures by lie symmetry. [PDF]

MethodsX
Adem AR, Arnous AH, Triki H, González-Gaxiola O, Calucag LS, Biswas A.   +5 more
europepmc   +1 more source

Optical soliton perturbation with complex ginzburg-landau equation having multiplicative white noise and nine forms of self-phase modulation structures. [PDF]

MethodsX
Zayed EME, Saad BMM, Arnous AH, Yildirim Y, Chaloob IZ, Mahmood AS, Moraru L, Isakhanli H, Biswas A.   +8 more
europepmc   +1 more source

Spiral solutions of the two-dimensional complex Ginzburg-Landau equation

, 2001
The multi-order exact solutions of the two-dimensional complex Ginzburg-Landau equation are obtained by making use of the wave-packet theory. In these solutions, the zeroth-order exact solution is a plane wave, the first-order exact solutions are shock ...
Zhao, Q, Fu, ZT, Liu, SD, Liu, SK
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