Results 161 to 170 of about 978 (180)

A complex Ginzburg-Landau equation in magnetism

Journal of Magnetism and Magnetic Materials, 1995
The complex Ginzburg-Landau equation corresponding to subcritical bifurcation is derived from a Landau-Lifshitz-Gilbert equation of motion of the magnetization in a one-dimensional uniaxial ferromagnet. The validity of this approximation is tested by a numerical simulation.
openaire   +1 more source

Dissipative Solitons in Coupled Complex Ginzburg–Landau Equations

Journal of the Physical Society of Japan, 2009
Pulse propagation in inhomogeneous nonlinear media with linear and nonlinear gain and loss, described by a system of nonlinearly coupled complex Ginzburg–Landau equations (CGLEs) with variable coefficients, is considered. Exact solitary pulse (SP) solutions are obtained analytically, for special choices of variable coefficients of the nonlinear gain ...
Malomed, B, Pak, OS, Lam, CK, Nakkeeran, K, Senthilnathan, K, Chow, KW   +5 more
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X-wave solutions of complex Ginzburg-Landau equations

Physical Review E, 2006
A solution in the form of X-wave patterns of the complex Ginzburg-Landau equation with a harmonic background inhomogeneity is obtained. The pattern can be attributed to the effects of the harmonic potential and the boundary configuration and size. By varying the harmonic of the background potential, the competition among three types of wave patterns ...
C T, Zhou, M Y, Yu, X T, He
openaire   +2 more sources

Recurrent motion in the fractional complex Ginzburg–Landau equation

Journal of Mathematical Physics, 2020
This article concerns recurrent motion in the fractional complex Ginzburg–Landau equation with a small recurrent force. By using Galerkin’s method and energy estimate method, we obtain the existence of the bounded solutions, periodic solutions, quasiperiodic solutions, almost periodic solutions, and almost automorphic solutions under suitable ...
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Instability of the vortex solution in the complex Ginzburg–Landau equation

Nonlinear Analysis: Theory, Methods & Applications, 2001
The author investigates the title problem by examining several known theorems and by stating and proving a new theorem regarding a linearized form of the equation. Several stability criteria are deduced. The paper is mostly theoretical. No examples are given.
openaire   +1 more source

Conservation laws of the complex Ginzburg-Landau equation

Physics Letters, Section A: General, Atomic and Solid State Physics, 2023
Nikolai Kudryashov
exaly  

First integrals and general solution of the complex Ginzburg-Landau equation

Applied Mathematics and Computation, 2020
Nikolai Kudryashov
exaly  

Solitary waves of the complex Ginzburg-Landau equation with anti-cubic nonlinearity

Physics Letters, Section A: General, Atomic and Solid State Physics, 2023
Nikolai Kudryashov, Chao-Qing Dai
exaly  

Optical solitons with complex Ginzburg–Landau equation by modified simple equation method

Optik, 2017
Aly Seadawy, Ahmed H Arnous, Anjan Biswas   +2 more
exaly  

Optical solitons with complex Ginzburg–Landau equation for two nonlinear forms using F-expansion

Chinese Journal of Physics, 2019
Qin Zhou, Mehmet Ekici, Milivoj Belić   +2 more
exaly