Results 81 to 90 of about 2,462 (177)

The Complex Ginzburg Landau Model for an Oscillatory Convection in a Rotating Fluid Layer

open access: yes, 2020
A weakly nonlinear thermal instability is investigated under rotation speed modulation. Using the perturbation analysis, a nonlinear physical model is simplified to determine the convective amplitude for oscillatory mode.
Reddy, P. Raj   +7 more
core   +1 more source

Nonequilibrium dynamics of the complex Ginzburg-Landau equation: Analytical results [PDF]

open access: yes, 2001
We present a detailed analytical and numerical study of nonequilibrium dynamics for the complex Ginzburg-Landau equation. In particular, we characterize evolution morphologies using spiral defects. This paper is the first in a two-stage exposition. Here,
Sanjay Puri   +5 more
core   +1 more source

Dynamics of vortices for the Complex Ginzburg-Landau equation

open access: yes, 2008
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 ...
Miot, Evelyne
core  

Standing waves of the complex Ginzburg-Landau equation

open access: yes, 2014
International audienceWe prove the existence of nontrivial standing wave solutions of the complex Ginzburg-Landau equation $\phi_t = e^{i\theta} \Delta \phi + e^{i\gamma} |\phi |^\alpha \phi $ with periodic boundary conditions.
Dickstein, Flávio   +2 more
core   +1 more source

Damped nonlinear Ginzburg-Landau equation with saturation. Part II. Strong Stabilization [PDF]

open access: yesOpuscula 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

Bifurcating Vortex Solutions Of The Complex Ginzburg-Landau Equation

open access: yes, 2007
. It is shown that the complex Ginzburg-Landau (CGL) equation on the real line admits nontrivial 2ß-periodic vortex solutions that have 2n simple zeros ("vortices") per period.
Dr. Hans   +3 more
core  

The Complex Cubic-Quintic Ginzburg-Landau Equation having Anti-Cubic Law Nonlinearity and Its Optical Solitons

open access: yes, 2023
This research investigates optical soliton solutions for the complex cubic-quintic Ginzburg-Landau equation having anti-cubic law nonlinearity which models the wave propagation in optical fibers.
Bayram, Mustafa   +4 more
core  

Spiral waves and turbulence in mathematical models of oncolytic virotherapy induced by Hopf bifurcation

open access: yesFrontiers in Applied Mathematics and Statistics
Oncolytic virotherapy is a promising targeted cancer treatment that employs viruses, which selectively infect tumor cells. Although its clinical efficiency has remained limited and it is often used in conjunction with other therapies, advances in genetic
Tejas Bansod, Thomas Hillen
doaj   +1 more source

Linear and Weakly Nonlinear Instability of Shallow Mixing Layers with Variable Friction

open access: yesAdvances in Civil Engineering, 2018
Linear and weakly nonlinear instability of shallow mixing layers is analysed in the present paper. It is assumed that the resistance force varies in the transverse direction. Linear stability problem is solved numerically using collocation method.
Irina Eglite, Andrei Kolyshkin
doaj   +1 more source

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