Complex Ginzburg-Landau equation
Exact traveling wave solutions of the space–time fractional complex Ginzburg–Landau equation and the space time fractional Phi 4 equation using reliable methods
... (NLS) equation using the variational iteration method (VIM) ...quintic complex Ginzburg–Landau equation using the homotopy analysis method (HAM) ...dynamic equation in ...
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Research Article New Exact Traveling Wave Solutions of the Time Fractional Complex Ginzburg-Landau Equation via the Conformable Fractional Derivative
... fractional complex Ginzburg-Landau equation with the Kerr law and dual-power law nonlinearity are ...differential equation via a traveling wave transformation in the sense of conformable ...
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Statistics of defect trajectories in spatio-temporal chaos in inclined layer convection and the complex Ginzburg-Landau equation
... the complex Ginzburg–Landau equation 关 CGL, see 共 1 兲 below 兴 when the Benjamin–Feir instability 1 destabilizes all plane waves via spatial modulations that compress and expand them, or in ...
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Some new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation
... modified complex Ginzburg-Landau equation ...This equation also applies when de- scribing soliton propagation in optical fiber systems with linear and nonlinear gain and spectral ...bic ...
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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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Random attractors for stochastic discrete complex non autonomous Ginzburg Landau equations with multiplicative noise
... the complex Ginzburg-Landau equation with a stochastic ...discrete Ginzburg-Landau equations with additive white ...stochastic equation does not contain deterministic ...
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Hole-effect chaos in the one-dimensional complex Ginzurg-Landau equation
... 共 Received 31 January 2003; revised manuscript received 28 April 2003; published 21 August 2003 兲 We study the spatiotemporally chaotic dynamics of holes and defects in the one-dimensional 共 1D 兲 complex ...
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Canonical Reduction of the Self-Dual Yang Mills Equations to Complex Ginzburg-Landau Equations and Exact Solutions
... Abstract. The (constrained) canonical reduction of four-dimensional self-dual Yang-Mills (SDYM) theory to two-dimensional complex Ginzburg-Landau equation are considered. On the other hand, ...
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A Series Solution for the Ginzburg Landau Equation with a Time Periodic Coefficient
... real Ginzburg-Landau (GL) equation with a time-periodic coefficient is obtained in the form of a series, with assured convergence, using the computer-assisted ‘Homotopy Analysis Method’ (HAM) ...
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Exact solutions of the 2D Ginzburg-Landau equation by the first integral method
... Next, let us recall the Divisor Theorem for two variables in the complex domain C : Theorem 2.1. (Divison Theorem) Suppose that P(ω, z) and Q(ω, z) are polyno- mials in C [ω, z], and that P (ω, z) is irreductible ...
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Conservative and entropic numerical schemes for the non homogeneous Fokker-Planck-Landau equation
... The evolution of a collisional plasma constituted of different species of particles is commonly described by the Landau or Fokker-Planck-Landau (FPL) equation at the kinetic level (see [5, 7–9]). It ...
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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
... Abstract. A priori and a posteriori error estimates are derived for the numerical approximation of scalar and complex valued phase field models. Particular attention is devoted to the dependence of the estimates on ...
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Energy decay rate of multidimensional inhomogeneous Landau–Lifshitz–Gilbert equation and Schrödinger map equation on the sphere
... differential equation to another complex ...deriving equation, then we can usually obtain the solution of the original equation by the opposite transformation of the stereographic ...
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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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Accurate Symbolic Solution of Ginzburg Landau Equations in the Circular Cell Approximation by Variational Method: Magnetization of Ideal Type II Superconductor
... corresponding Equation (14) of [6] as it is explained in [8] [9] [10] (note that the corresponding Equation (11) [8] contains a typing error, the correct equations are: ...and Equation (16) ...
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Two loop correction to the Gribov mass gap equation in Landau gauge QCD
... gap equation. Gribov computed the explicit form of the gap equation to one loop and related it to the running coupling constant, ...the Landau gauge and there is an interesting ...the Landau ...
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Vortex liquids and the Ginzburg Landau equation
... Gorkov–Eliashberg equation by the Γ -convergence of a gradient flow type result, we believe that our approach will still be ...Hamiltonian Ginzburg–Landau wave system, where results for the PDE to ...
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Pimenov, Dimitri (2019): Beyond the Landau-Ginzburg-Wilson paradigm: analytical studies of non-standard quantum criticality. Dissertation, LMU München: Fakultät für Physik
... the Landau damping term plays a promi- nent role and leads to a non-Fermi-liquid form of the fermion ...level, Landau damp- ing effects are less important within this controlled epsilon expansion scheme and ...
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Boundary fractional differential equation in a complex domain
... or complex number powers of the dif- ferentiation operator D = ...the complex z-plane C containing the origin and for ≤ α < , the fractional derivative of order α is defined ...
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The analogy of equation of rotation in complex plane with the Dirac equation, and its foundation
... In present work, we try to use the classical concepts mentioned above to formulate a model analogous to the relativistic quantum mechanics. Thus this approach does not base on the quantum postulates (wave function, and ...
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