Results 41 to 50 of about 978 (180)
Dynamics of Fractional Stochastic Ginzburg–Landau Equation Driven by Nonlinear Noise
Mathematics, 2022 In this work, we focus on the long-time behavior of the solutions of the stochastic fractional complex Ginzburg–Landau equation defined on Rn with polynomial drift terms of arbitrary order.
Hong Lu, Linlin Wang, Mingji Zhang
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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.
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Integrability and chaotic dynamics in nonlinear dispersive stochastic model
Results in Applied MathematicsThis paper focuses on obtaining exact solutions and dynamical analysis of the stochastic real-valued Ginzburg–Landau equation driven by multiplicative Itô noise.
Muhammad Aziz-ur-Rehman +3 more
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Mathematics, 2022 This work analytically recovers the highly dispersive bright 1–soliton solution using for the perturbed complex Ginzburg–Landau equation, which is studied with three forms of nonlinear refractive index structures.
Anjan Biswas +5 more
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Complex Ginzburg–Landau equations with dynamic boundary conditions [PDF]
Nonlinear Analysis: Real World Applications, 2018 50 ...
Wellington José Corrêa +1 more
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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 +2 more
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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
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Phase dynamics in the complex Ginzburg–Landau equation
Journal of Differential Equations, 2004 For suitable parameter values, stable time periodic solutions of a special type form the locally preferred platform for the complex Ginzburg-Landau equation. An evolution equation is derived in a formal manner that describes the spatial global behavior for a local wave number. This local wave number is an approximate solution of a conservation law, and
Melbourne, Ian, Schneider, Guido
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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 +3 more
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Null controllability of the complex Ginzburg–Landau equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2009 The paper investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg–Landau equation. Zero-controllability results are derived from a new Carleman estimate and an analysis based upon the theory of sectorial operators. Résumé Dans ce papier on étudie la contrôlabilité au
Rosier, Lionel, Zhang, Bing-Yu
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