complex Ginzburg-Landau
Research Article New Exact Traveling Wave Solutions of the Time Fractional Complex Ginzburg-Landau Equation via the Conformable Fractional Derivative
... In this study, the exact traveling wave solutions of the time fractional complex Ginzburg-Landau equation with the Kerr law and dual-power law nonlinearity are studied. The nonlinear fractional ...
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Canonical Reduction of the Self-Dual Yang Mills Equations to Complex Ginzburg-Landau Equations and Exact Solutions
... In this paper, the canonical reduction of four dimensional self-dual Yang-Mills theory to two dimensional complex Ginzburg-Landau (cGL) equation are considered. We give a new of exact solution for ...
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Statistics of defect trajectories in spatio-temporal chaos in inclined layer convection and the complex Ginzburg-Landau equation
... In this paper we have applied a novel diagnostic measure for defect-dominated spatio-temporal chaos, the statistical properties of defect loops in space–time, to a canonical the- oretical system 共 the complex ...
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Exact traveling wave solutions of the space–time fractional complex Ginzburg–Landau equation and the space time fractional Phi 4 equation using reliable methods
... Date–Jimbo–Kashiwara–Miwa (DJKM) equation [1]. Wazwaz and Kaur obtained optical solitons and singular soliton solutions of the self-focusing nonlinear Schrödinger (NLS) equation using the variational iteration method ...
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Some new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation
... real, complex or a combination of the two different combinations of the above sys- tem parameters describe different types of wave propagation in different physical ...
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On a laser (3+1)-dimensional vectorial cubic-quintic complex Ginzburg-Landau equation and modulational instability
... especially the disintegration of the plane wave solutions into nonlinear waves patterns. 396.[r] ...
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Dynamics of Nerve Pulse Propagation in a Weakly Dissipative Myelinated Axon
... the Complex Ginzburg-Landau (CGL) equation from a weakly dissipative FHN model, where the pulse solution clearly depicts the action potential typical in neural ...
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Random attractors for stochastic discrete complex non autonomous Ginzburg Landau equations with multiplicative noise
... discrete complex Ginzburg- Landau equation is encountered in several diverse branches of physics, ranging from su- perconductivity and nonlinear optics, to Bose-Einstein ...discrete complex ...
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Localized Patterns in Periodically Forced Systems: II. Patterns with Non-Zero Wavenumber
... Abstract. In pattern-forming systems, localized patterns are readily found when stable patterns exist at the same parameter values as the stable unpatterned state. Oscillons are spatially localized, time-periodic ...
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Efficient Approach for 3D Stationary Optical Solitons in Dissipative Systems
... Our studies are based on an extended complex Ginzburg-Landau equation that includes cubic and quintic nonli- near terms. This equation (CGLE) is one of the universal equations used to describe ...
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Localized patterns in periodically forced systems
... forced complex Ginzburg–Landau equation in the limit of weak forcing and weak ...forced complex Ginzburg–Landau equation to the Allen–Cahn equation near onset, obtaining an ...
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Spatio Temporal Pulsating Dissipative Solitons through Collective Variable Methods
... In this work, based on collective variable approach, we have expanded the studies of 3D dissipative pulsating solitons in the complex Ginzburg-Landau equation with the cubic-quintic nonlinearity. In ...
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Rogue waves in a wave tank: experiments and modeling
... Generated waves were clearly rogue waves with a ratio (maximum wave height / significant wave height) of 2.33 and a kurtosis of 4.77 (Janssen, 2003 and Onorato et al., 2005). These results were already presented ...
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Study of heat and mass transport in temperature-dependent-viscous fluid under gravity modulation
... The classical Rayleigh-B´ enard convection due to bottom heating is well known and highly explored phenomenon given by Chandrasekhar [25], Drazin and Reid [26]. Gershuni and Zhukhovitskii [27] and Gresho and Sani [28] ...
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Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes
... topological change occurs when two degree-one vortices of different sign annihilate. The results of this paper show that the annihilation of vortices can be reliably simu- lated while the splitting of higher degree ...
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Modeling Parabolic Pulse Formation in Mode-Locked Laser Cavities
... Figure 3: Attracting dynamics of the solution (a) and its phase-plane (b) obtained from numerical simulation of the amplitude equation (11) from a Gaussian initial condition with δ = 0, β = σ = 0 . 1, and = 0 . 5. The ...
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Fluctuation conductivity and Ginzburg-Landau parameters in high-temperature superconductors above Tc: Effect of strong inelastic scattering
... 5 we have plotted the enhancement factor of the Azlamasov-Larkin contribution due to the marginal- Fermi-liquid effects in D =3, 2, 1, and 0 compared to the case of a constant magnetic i[r] ...
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A further study on the coupled Allen–Cahn/Cahn–Hilliard equations
... System (1.1)–(1.4) was introduced to model simultaneous order-disorder and phase sep- aration in binary alloys on a BCC lattice in the neighborhood of the triple point [1]. Here, h denotes the concentration of one of the ...
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Quantum order by disorder driven phase reconstruction in the vicinity of ferromagnetic quantum critical points
... To summarize, quantum order by disorder provides a phys- ical picture for the formation of new phases due to quantum fluctuations. As we see later, certain deformations of the Fermi surface enhance the phase space ...
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