Results 121 to 130 of about 2,507 (215)

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  

Soliton solutions of the complex Ginzburg-Landau Equation [PDF]

, 2009
The function transformed method is applied to an n-dimensional complex Ginzburg-Landau equation (CGLE), which is being transformed to physically significant well known nonlinear waves equations depending only on the function ?, and these equations can be
Yousif Rasheed, Faisal Salah, Abdul Aziz, Zainal   +1 more
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Stationary localized solutions in the subcritical complex ginzburg landau equation [PDF]

, 2002
It is shown that pulses in the complete quintic one-dimensional Ginzburg{Landau equation with complex coe cients appear through a saddle-node bifurcation which is determined analytically through a suitable approximation of the explicit form of the ...
Tirapegui, Enrique, Descalzi, Orazio, Tirapegui Zurbano, Enrique, Argentina, Mederic   +3 more
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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
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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