Results 91 to 100 of about 978 (180)

Phase-Diffusion Equations for the Anisotropic Complex Ginzburg–Landau Equation

open access: yesInternational Journal of Bifurcation and Chaos
Equations of the Ginzburg–Landau type play a fundamental role as generic amplitude equations to which physical, chemical, biological as well as engineering systems can be reduced to describe pattern forming processes near instabilities. The subject of this paper is the 2D Anisotropic Complex Ginzburg–Landau Equation (ACGLE) and its reduction to phase ...
Derek R. Handwerk   +3 more
openaire   +2 more sources

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

On the stability of localized structures in the complex Ginzburg–Landau equation

open access: yesPhysica A: Statistical Mechanics and its Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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

Dynamic analysis and derivation of new optical soliton solutions for the modified complex Ginzburg-Landau model in communication systems

open access: yesAlexandria 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   +4 more
doaj   +1 more source

Dynamic properties and chaotic behaviors of pure-cubic complex Ginzburg–Landau equation with different nonlinearities

open access: yesResults 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   +3 more
doaj   +1 more source

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