Results 51 to 60 of about 2,507 (215)

Complex Ginzburg–Landau equations with dynamic boundary conditions [PDF]

Nonlinear Analysis: Real World Applications, 2018
50 ...
Wellington José Corrêa, Türker Özsarı   +1 more
openaire   +5 more sources

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

Dynamics of vortices for the complex Ginzburg–Landau equation [PDF]

Analysis & PDE, 2009
We study a complex Ginzburg-Landau equation in the plane, which has the form of a Gross-Pitaevskii equation with some dissipation added. We focus on the regime corresponding to well-prepared unitary vortices and derive their asymptotic motion law.
openaire   +3 more sources

Relative Periodic Solutions of the Complex Ginzburg--Landau Equation [PDF]

SIAM Journal on Applied Dynamical Systems, 2005
32 pages, 12 ...
Vanessa López, Philip Boyland, Michael T. Heath, Robert D. Moser   +3 more
openaire   +2 more sources

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

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

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