Landau equation
Exact solutions of the 2D Ginzburg-Landau equation by the first integral method
... Ginzburg-Landau equation is a class of a Schr¨ odinger equation with a nonlinear term ...This equation governs the finite amplitude evolution of instability waves in a large variety of ...
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Vortex liquids and the Ginzburg Landau equation
... Ginzburg– Landau equation quickly dissipates not only the Ginzburg–Landau energy and the renormalized energy, but also the excess energy; see for example [4, ...
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Hole-effect chaos in the one-dimensional complex Ginzurg-Landau equation
... Finally, we mention another commonly observed type of spatiotemporal chaos occurring in systems when a periodic state undergoes a certain symmetry breaking bifurcation 关 17 兴 . Mathematically, such systems may be ...
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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
... (NLS) equation using the variational iteration method (VIM) ...Ginzburg–Landau equation using the homotopy analysis method (HAM) ...dynamic equation in dust-acoustic plasmas [4] and the ...
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A fourth order linearized difference scheme for the coupled space fractional Ginzburg–Landau equation
... Ginzburg–Landau equation (GLE) has been used to model a wide variety of physi- cal systems ...Ginzburg–Landau equation (FGLE) was first suggested by Tarasov and Zaslavsky [2, 3] for fractal ...
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Conservative and entropic numerical schemes for the non homogeneous Fokker-Planck-Landau equation
... The first step consists in the approximation of the Vlasov equation, which is the left hand side of (1.1). Its numerical resolution is often performed through particle methods (Particle In Cell) where the plasma ...
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A Series Solution for the Ginzburg Landau Equation with a Time Periodic Coefficient
... (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 Liao ...GL equation ...
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Quantum Statistical Derivation of a Ginzburg Landau Equation
... tion corresponds to the evaporation of condensed paions, and not to their break-up into electrons. Moving pai- rons by construction have negative energies while quasi electrons have positive energies. Thus, the moving ...
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Temporal Solitons of Modified Complex Ginzberg Landau Equation
... Zakharov equation [15]. The one dimensional (1D) CGLE [23] is a generic equation which describes dissipative systems near a subcritical bifurcation to traveling ...
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Modeling Parabolic Pulse Formation in Mode-Locked Laser Cavities
... Self-similarity is a ubiquitous phenomena exhibited in a broad range of physical and biological systems [4]. It is particularly prevalent in nonlinear dissipative sys- tems where initial transients are attenuated and the ...
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Study of heat and mass transport in temperature-dependent-viscous fluid under gravity modulation
... In this paper, we study the thermosolutal convection in a horizontal temperature dependent viscous fluid layer. The considered gravity field consists of two parts: a steady part and a time-dependent periodic part that ...
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Spatio Temporal Pulsating Dissipative Solitons through Collective Variable Methods
... Ginzburg- Landau equation model is considered. This equation (CGLE) is one of the universal equations used to describe dissipative ...this equation could be ap- plied to the modeling of a ...
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Efficient Approach for 3D Stationary Optical Solitons in Dissipative Systems
... This intensive work can be significantly reduced if we develop theoretical tools that can perceive soliton solu- tions more efficiently and envisage their domains of existence. A few approximate, semi-analytical methods ...
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Localized patterns in periodically forced systems
... Ginzburg–Landau equation in the limit of weak forcing and weak ...Ginzburg–Landau equation to the Allen–Cahn equation near onset, obtaining an asymptotically exact expression for ...
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Large time behavior for the fractional Ginzburg-Landau equations near the BCS-BEC crossover regime of Fermi gases
... Ginzburg- Landau equations for atomic Fermi gases near the BCS-BEC ...Ginzburg-Landau equation [], the fractional Schrödinger equation [], the fractional Landau-Lifshitz-Gilbert ...
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Lie Group Classifications and Stability of Exact Solutions for Multidimensional Landau Lifshitz Equations
... of Landau-Lifshitz equations. But it is difficult to solve Landau-Lifshitz ...differential equation (see [13]-[22]): the classical Lie group method [15] [16], the non-classical Lie group method [17] ...
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Creation of Bielectron of Dirac Cone: The Tachyon Solution in Magnetic Field
... in Landau gauge one can express via the product of the two identical wave functions one can conclude that in this case the separation of center of mass and relative motion is shown ...
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Temperature dependent ferromagnetic resonance via the Landau Lifshitz Bloch equation: Application to FePt
... with atomistic simulations [23]. Furthermore, the predictions for the longitudinal and transverse relaxation times have been successfully compared with atomistic simulations [24]. Consequently, we use this ...
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Stochastic Landau-Lifshitz-Gilbert Equation with Anisotropy Energy Driven by Pure Jump Noise
... In this work we study a stochastic three-dimensional Landau-Lifshitz-Gilbert equation with non- zero anisotropy energy, which is drive by pure jump noise. We show existence of weak martingale solutions ...
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