Results 111 to 120 of about 2,507 (215)
, 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
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Frontiers in Applied Mathematics and StatisticsOncolytic 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
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Linear and Weakly Nonlinear Instability of Shallow Mixing Layers with Variable Friction
Advances 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
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Analysis of iterative methods for solving a Ginzburg-Landau equation
, 2005 . Very recently we have proposed to use a complex Ginzburg-Landau equation for high contrast inpainting, to restore higher dimensional (volumetric) data (which has applications in frame interpolation), improving sparsely sampled data and to fill in ...
Alfio Borzi +2 more
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Stochastic complex Ginzburg-Landau equation on compact surfaces
We study a stochastic complex Ginzburg-Landau equation (SCGL) on compact surfaces with magnetic Laplacian and polynomial nonlinearity, forced by a space-time white noise. After renormalizing the equation in a suitable manner, we show that the dynamics is
Robert, Tristan, Zine, Younes
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Exact soliton solutions, chaotic dynamics, and high-precision simulations for the modified complex Ginzburg–Landau equation [PDF]
AIP AdvancesThis study presents a unified framework for the modified complex Ginzburg–Landau (CGL) equation, addressing key gaps in traditional research, such as the neglect of coupling between fourth-order dispersion and Kerr nonlinearity, as well as improper ...
Zexian Liu +3 more
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Inviscid Limits of the Complex Ginzburg-Landau Equation
, 2007 In the inviscid limit the generalized complex Ginzburg-Landau equation reduces to the nonlinear Schrodinger equation. This limit is proved rigorously with H 1 data in the whole space for the Cauchy problem and in the torus with periodic boundary ...
Philippe Bechouche, Ansgar Jüngel
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Interaction of spiral waves in the complex Ginzburg-Landau equation.
, 2008 Solutions of the general cubic complex Ginzburg-Landau equation comprising multiple spiral waves are considered, and laws of motion for the centers are derived.
Chapman, Stephen +3 more
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Aging phenomena in the two-dimensional complex Ginzburg-Landau equation
, 2019 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 ...
Liu, Weigang, Täuber, Uwe C.
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The inviscid limit of the derivative complex Ginzburg–Landau equation
, 2004 We show that the solutions of the derivative complex Ginzburg–Landau equation ut−(ε+i)uxx+(a+i)g(|u|2)u+(α+iβ)(|u|2u)x=0 converge to the solution of the derivative nonlinear Schrödinger equation ut−iuxx+ig(|u|2)u+α(|u|2u)x=0 if the real parameters ε, a ...
Wang, YD +3 more
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