complex Ginzburg-Landau equations
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, other ...
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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
... plex Ginzburg–Landau ...forced complex Ginzburg–Landau equations and relate these to oscillons that we find in the model ...amplitude equations make our work relevant to ...
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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
... differential equations (FDEs) associated with fractional derivatives such as the Riemann–Liouville derivative [12], the Caputo derivative [12], the Caputo–Fabrizio derivative [13] and Jumarie’s modified ...
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Some new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation
... modified complex Ginzburg- Landau equation by using the (G 0 /G) expansion method, homogeneous balance method, extended F-expansion ...differential equations that does not involve independent ...
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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 employ a novel tool for the partial char- acterization of a spatio-temporally chaotic state that takes into account long-range aspects of the defect dynamics by investigating the statistics of the ...
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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
... two Ginzburg-Landau (GL) equations [1] ...the complex-valued GL equations” [3] [4], the demands of calculation effort and time and being less ...
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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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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) propounded by ...
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Spatio Temporal Pulsating Dissipative Solitons through Collective Variable Methods
... In this study, the propagation of pulse in a system described by an extended complex Cubic-quintic Ginzburg- Landau equation model is considered. This equation (CGLE) is one of the universal ...
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Efficient Approach for 3D Stationary Optical Solitons in Dissipative Systems
... extended complex Ginzburg-Landau equation that includes cubic and quintic nonli- near ...universal equations used to describe dissipative ...
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Large time behavior for the fractional Ginzburg-Landau equations near the BCS-BEC crossover regime of Fermi gases
... where u(x, t) is the fermion-pair field and ϕ(x, t) is the condensed boson field, μ is the chemical potential, ν is the threshold energy of the Feshbach resonance, g is the coupling constant describes the process arising ...
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Critical Behavior of a Supersymmetric Extension of the Ginzburg Landau Model
... Furthermore, in previous works the authors have inves- tigated models in which massless Dirac fermions are coupled to the Ginzburg-Landau model [4]. The presence of the Dirac fermions is justified by the ...
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Homogenization of a Ginzburg-Landau problem in a perforated domain with mixed boundary conditions
... 1. Tartar, L: Cours Peccot, Collège de France (March 1977). Partially written in F. Murat, H-Convergence, Séminaire d’analyse fonctionnelle et numérique de l’Université d’Alger (1977-78). English translation in ...
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Asymptotic analysis of the Ginzburg Landau functional on point clouds
... Our approach is motivated by [1, 25, 42]. Classifiers are constructed as the solution of a variational problem which is common in statistical problems, e.g. maximum likelihood and maximum-a-posterior problems. In ...
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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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Exact solutions of the 2D Ginzburg-Landau equation by the first integral method
... know Ginzburg-Landau equation is a class of a Schr¨ odinger equation with a nonlinear term ...of Ginzburg-Landau equation arise in hydrodynamic instability theory: the development of Tollmien- ...
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Quantum order by disorder driven phase reconstruction in the vicinity of ferromagnetic quantum critical points
... the Ginzburg-Landau coefficients of the uniform ferromagnet by performing some simple angular ...the Ginzburg-Landau expansion of the free ...
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13. On a magnetic Ginzburg-Landau type energy with weight
... work of Sandier-Serfaty [26] (see also [6, 7]) who studied the Gamma-convergence of the of the usual Ginzburg-Landau energy without weight, that is with q(x) = 1 and p(x) = 1. More precisely, they gave the ...
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Classification of phase transitions in thin structures with small Ginzburg Landau parameter
... We shall use each of these models to derive an eigenvalue problem whose solution determines the position of the normal/superconducting phase transition in H-T phase space; and to find a [r] ...
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