Results 31 to 40 of about 978 (180)
Soliton turbulence in the complex Ginzburg-Landau equation [PDF]
Physical Review E, 2007 5 ...
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Eng, 2023 In this paper, we derived optical soliton solutions with a highly dispersive nonlinear complex Ginzburg–Landau (CGL) equation in birefringent fibers that have Kerr law nonlinearity.
Elsayed M. E. Zayed +3 more
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BIFURCATION TO CHAOS IN THE СOMPLEX GINZBURG–LANDAU EQUATION WITH LARGE THIRD-ORDER DISPERSION
Моделирование и анализ информационных систем, 2015 We give an analytic proof of the existence of Shilnikov chaos in complex Ginzburg– Landau equation subject to a large third-order dispersion perturbation.
I. I. Ovsyannikov +2 more
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Fractal and Fractional, 2023 This work discusses the soliton solutions for the fractional complex Ginzburg–Landau equation in Kerr law media. It is a particularly fascinating model in this context as it is a dissipative variant of the Hamiltonian nonlinear Schrödinger equation with ...
Rana Muhammad Zulqarnain +4 more
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Ain Shams Engineering Journal, 2023 The fractional complex Ginzburg–Landau model is widely used in the description of wave propagation through optical transmission lines. It has many useful applications in the fields of telecommunications and nonlinear optics.
Ghazala Akram +3 more
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ON THE COMPLEX GINZBURG–LANDAU EQUATION WITH A DELAYED FEEDBACK [PDF]
Mathematical Models and Methods in Applied Sciences, 2006 We show how to stabilize the uniform oscillations of the complex Ginzburg–Landau equation with periodic boundary conditions by means of some global delayed feedback. The proof is based on an abstract pseudo-linearization principle and a careful study of the spectrum of the linearized operator.
Casal, A. C., Díaz, J. I.
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Boundary Value Problems, 2020 In this paper, the existence of a response solution with the Liouvillean frequency vector to the quasi-periodically forced complex Ginzburg–Landau equation, whose linearized system is elliptic–hyperbolic, is obtained. The proof is based on constructing a
Shimin Wang, Jie Liu
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Complex Ginzburg-Landau equation in the presence of walls and corners [PDF]
Physical Review E, 2001 We investigate the influence of walls and corners (with Dirichlet and Neumann boundary conditions) in the evolution of twodimensional autooscillating fields described by the complex Ginzburg-Landau equation. Analytical solutions are found, and arguments provided, to show that Dirichlet walls introduce strong selection mechanisms for the wave pattern ...
Eguíluz, Víctor M. +2 more
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Motion of spiral waves in the complex Ginzburg–Landau equation [PDF]
Physica D: Nonlinear Phenomena, 2010 Solutions of the general cubic complex Ginzburg-Landau equation comprising multiple spiral waves are considered. For parameters close to the vortex limit, and for a system of spiral waves with well-separated centres, laws of motion of the centres are found which vary depending on the order of magnitude of the separation of the centres.
Aguareles, M, Chapman, S, Witelski, T
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Dynamics of defects in the vector complex Ginzburg–Landau equation [PDF]
Physica D: Nonlinear Phenomena, 2003 35 pages of LATeX, using the elsart macros. Includes 17 (large) figures. Related material, including movies and higher resolution figures, available at http://www.imedea.uib.es/PhysDept/Nonlinear/research_topics/Vcgl2/
Hoyuelos, Miguel +4 more
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