Results 31 to 40 of about 2,462 (177)

Oscillatory magneto-convection under magnetic field modulation

Alexandria Engineering Journal, 2018
In this paper we investigate an oscillatory mode of nonlinear magneto-convection under time dependant magnetic field. The time dependant magnetic field consists steady and oscillatory parts.
Palle Kiran, B.S. Bhadauria, Y. Narasimhulu   +2 more
doaj   +1 more source

Optical Solitons with the Complex Ginzburg–Landau Equation with Kudryashov’s Law of Refractive Index

Mathematics, 2022
In this paper, the optical solitons for the complex Ginzburg–Landau equation with Kudryashov’s law of refractive index are established. An improved modified extended tanh–function technique is used to extract numerous solutions. Bright and dark solitons,
Ahmed H. Arnous, Luminita Moraru
doaj   +1 more source

Stability of Plane Wave Solutions in Complex Ginzburg--Landau Equation with Delayed Feedback

, 2014
We perform bifurcation analysis of plane wave solutions in a one-dimensional complex cubic-quintic Ginzburg--Landau equation with delayed feedback.
Vladimirov, Andrei G., Puzyrev, Dmitry, Gurevich, Svetlana V., Yanchuk, Serhiy   +3 more
core   +1 more source

The inviscid limit for the complex Ginzburg–Landau equation

, 2003
We study the inviscid limit of the complex Ginzburg–Landau equation. We observe that the solutions for the complex Ginzburg–Landau equation converge to the corresponding solutions for the nonlinear Schrödinger equation. We give its convergence rate.
Machihara, Shuji, Nakamura, Yoshihisa
core   +1 more source

Quantized vortex dynamics of the complex Ginzburg-Landau equation on torus

, 2023
We derive rigorously the reduced dynamical laws for quantized vortex dynamics of the complex Ginzburg-Landau equation on torus when the core size of vortex $\varepsilon\to 0$.
Zhu, Yongxing
core   +1 more source

Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator

Journal of Ocean Engineering and Science, 2020
It is well known that there is a deep connection between the symmetric and traveling wave solutions. It has been shown that all symmetric waves are traveling waves.
Rabha W. Ibrahim, Chandrashekhar Meshram, Samir B. Hadid, Shaher Momani   +3 more
doaj   +1 more source

Aging phenomena in the two-dimensional complex Ginzburg-Landau equation

, 2020
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 ...
Uwe C. Täuber, Weigang Liu
core   +1 more source

Stochastic and Higher-Order Effects on Exploding Pulses

Applied Sciences, 2017
The influence of additive noise, multiplicative noise, and higher-order effects on exploding solitons in the framework of the prototype complex cubic-quintic Ginzburg-Landau equation is studied.
Orazio Descalzi, Carlos Cartes
doaj   +1 more source

A High-Precision Numerical Method for the Fractional-in-Time Complex Ginzburg–Landau Equation with Periodic Boundary Condition

Fractal and Fractional
This paper investigates the chaotic and pattern dynamics of the time-fractional Ginzburg–Landau equation. First, we propose a high-precision numerical method that combines finite difference schemes with an improved Grünwald–Letnikov fractional derivative
Wei Zhang, Yulan Wang
doaj   +1 more source

Damped nonlinear Ginzburg-Landau equation with saturation. Part I. Existence of solutions on general domains [PDF]

Opuscula Mathematica
We study the complex Ginzburg-Landau equation posed on possibly unbounded domains, including some singular and saturated nonlinear damping terms. This model interpolates between the nonlinear Schrödinger equation and dissipative parabolic dynamics ...
Pascal Bégout, Jesús Ildefonso Díaz
doaj   +1 more source