Results 101 to 110 of about 2,462 (177)

General soliton solutions of an n-dimensional complex Ginzburg-Landau equation

, 2000
: Applying the function transformation method, an n-dimensional complex Ginzburg-Landau equation is transformed to a sine-Gordon equation, sinh-Gordon equation and other equations, which depends only on one function, zeta; and can be solved.
Seadawy, A.R., Khater, A.H., Callebaut, Dirk   +2 more
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Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg-Landau equation. [PDF]

Proc Math Phys Eng Sci, 2020
Kostianko A.
europepmc   +1 more source

The limit theory of the energy-critical complex Ginzburg-Landau equation

We study the limit behavior of the solutions to energy-critical complex Ginzburg-Landau equation. We give a rigorous theory of the zero-dispersion limit from energy-critical complex Ginzburg-Landau equation to energy-critical nonlinear heat equation for ...
Guo, Chang-yu, Cheng, Xing., Zheng, Yunrui.   +2 more
core  

Transition to antispirals in the complex Ginzburg-Landau equation

, 2004
We report a continuous transition from outwardly rotating spiral waves to antispirals in the complex Ginzburg- Landau equation. Numerical simulations demonstrate that the normal spiral to antispiral transition is fulfilled through a rest spiral wave with
Wang Hong-Li, Ou-Yang, Q, Qi Ou-Yang, Wang, HL   +3 more
core   +1 more source

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

Domain wall motion in ferromagnets modelled by a quintic complex Ginzburg-Landau equation

, 2008
A quintic complex Ginzburg-Landau equation is derived from a Landau-Lifshitz-Gilbert equation and is used to describe the magnetization dynamics in a one-dimensional uni-axial ferromagnet.
T. C. Kofané, J.-P. Nguenang, T. Njassap Njassap   +2 more
core   +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

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
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