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Nonlinear dynamics, ISSN 0924-090X, 9/2017, Volume 89, Issue 4, pp. 2933 - 2939
Journal Article
Journal of computational physics, ISSN 0021-9991, 05/2016, Volume 312, pp. 31 - 49
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2013, Volume 45, Issue 1, pp. 14 - 30
.... This leads to a slow modulation of the dominant pattern. Here we consider the stochastic SwiftHohenberg equation and derive rigorously the Ginzburg-Landau equation as a modulation equation for the amplitudes of the dominating modes... 
Additive noise | Ginzburg-Landau equation | Swift-Hohenberg equation | Stabilization by noise | Modulation equation | Multiscale analysis | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Amplitudes | Stability | Partial differential equations | Mathematical analysis | Noise | Modulation | Stochasticity
Journal Article
Nonlinear dynamics, ISSN 0924-090X, 12/2018, Volume 94, Issue 4, pp. 2363 - 2371
...Nonlinear Dyn (2018) 94:2363–2371 https://doi.org/10.1007/s11071-018-4494-5 ORIGINAL PAPER Optical vortices in the Ginzburg–Landau equation with cubic–quintic... 
Ginzburg–Landau equation | Optical vortices | Cubic–quintic nonlinearity | Mechanics | Engineering | Technology | Engineering, Mechanical | Science & Technology | Electron beams | Initial conditions | Computer simulation | Propagation | Energy dissipation | Vortices | Evolution | Nonlinearity | Topology | Beads
Journal Article
Physica A, ISSN 0378-4371, 08/2005, Volume 354, Issue 1-4, pp. 249 - 261
We derive the fractional generalization of the Ginzburg–Landau equation from the variational Euler... 
Ginzburg–Landau equation | Fractional derivatives and integrals fractal medium | Fractional equation | Ginzburg-Landau equation | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology
Journal Article
Optics communications, ISSN 0030-4018, 06/2018, Volume 416, pp. 190 - 201
...–Landau [(3+1)D CQS-CGL] equation. We have used the variational method to find a set of differential equations characterizing the variation of the pulse parameters in fiber optic-links... 
SSFM | Stationary and pulsating optical bullets | Solitons | Bell-shaped | Generalized-Gaussian beam | Nonlinearities | Diffraction | Raman effect | Self-steepening | Vortex dissipative light bullets | RK4 | Sith-order dispersion term | Complex Ginzburg–Landau equation | Optics | Physical Sciences | Science & Technology
Journal Article
Modern physics letters A, ISSN 1793-6632, 02/2019, Volume 34, Issue 3, p. 1950019
...–Landau equation with Kerr law of nonlinearity. Meanwhile, the interaction between rational solutions and the kink wave is also investigated... 
Rational solutions | logarithmic transformations | multi-waves interactions | complex Ginzburg-Landau equation | Physical Sciences | Physics, Nuclear | Astronomy & Astrophysics | Physics, Particles & Fields | Physics, Mathematical | Physics | Science & Technology
Journal Article
Nonlinear dynamics, ISSN 0924-090X, 12/2017, Volume 90, Issue 4, pp. 2745 - 2753
Journal Article
Fractional calculus & applied analysis, ISSN 1311-0454, 3/2013, Volume 16, Issue 1, pp. 226 - 242
Journal Article
Optik (Stuttgart), ISSN 0030-4026, 07/2018, Volume 164, pp. 210 - 217
The main object of this paper is to construct the new exact solutions of a nonlinear evolution equation that appears in mathematical physics, specifically complex cubic-quintic Ginzburg... 
Nonlinear partial differential equations | Complex cubic-quintic Ginzburg–Landau Equation | First integral method | Exact solutions | Optics | Physical Sciences | Science & Technology
Journal Article
Physica. B, Condensed matter, ISSN 0921-4526, 11/2016, Volume 500, pp. 142 - 153
Journal Article
Optik (Stuttgart), ISSN 0030-4026, 08/2018, Volume 167, pp. 218 - 227
In this paper, we find new solitons solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity according to the new extended direct algebraic method... 
Ginzburg-Landau equation with Kerr law nonlinearity | Solitons solutions | The new extended direct algebraic method | Optics | Physical Sciences | Science & Technology
Journal Article