Results 21 to 30 of about 1,498 (185)
Nonstationary Superconductivity: Quantum Dissipation and Time-Dependent Ginzburg-Landau Equation
Advances in Condensed Matter Physics, 2011 Transport equations of the macroscopic superfluid dynamics are revised on the basis of a combination of the conventional (stationary) Ginzburg-Landau equation and Schrödinger's equation for the macroscopic wave function (often called the order parameter)
Anatoly A. Barybin
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Results in Physics, 2021 This article obtains the optical solitons of the complex fractional Ginzburg–Landau equation by the hypothesis of traveling wave and generalized projective Riccati equation scheme.
Saima Arshed +4 more
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On the bifurcation theory of the Ginzburg–Landau equations
, 2023 We construct nonminimal and irreducible solutions to the Ginzburg-Landau equations on closed manifolds of arbitrary dimension with trivial first real cohomology. Our method uses bifurcation theory where the "bifurcation points" are characterized by the eigenvalues of a Laplace-type operator.
Nagy, Ákos, Oliveira, Gonçalo
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Multisoliton Solutions of the Complex Ginzburg-Landau Equation [PDF]
Physical Review Letters, 1997 We present novel stable solutions which are soliton pairs and trains of the ID complex Ginzburg-Landau equation (CGLE), and analyze them. We propose that the distance between the pulses and the phase difference between them is defined by energy and momentum balance equations.
Akhmediev, N. +2 more
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A Fourth Order Energy Dissipative Scheme for a Traffic Flow Model
Mathematics, 2020 We propose, analyze and numerically validate a new energy dissipative scheme for the Ginzburg–Landau equation by using the invariant energy quadratization approach.
Xiaowei Chen, Mingzhan Song, Songhe Song
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The equation of state for metal-doped ferroelectrics within the Weiss model
Journal of Advanced Dielectrics, 2022 This paper presents a theoretical model for describing the thermodynamic properties of doped ferroelectric crystals based on a modified Weiss mean-field approach.
Ivan A. Starkov +2 more
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On Abrikosov Lattice Solutions of the Ginzburg-Landau Equation [PDF]
Mathematical Modelling of Natural Phenomena, 2013 15 ...
Tzaneteas, Timmy, Sigal, I.M.
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Topological methods for the Ginzburg-Landau equations
Journal de Mathématiques Pures et Appliquées, 1998 Summary: We consider the Ginzburg-Landau equation \[ - \Delta u = \varepsilon^{- 2} u \bigl( 1 - |u |^2 \bigr) \text{ in } \Omega, \quad u = g \text{ on } \partial \Omega, \] where \(\Omega\) is a domain in \(\mathbb{R}^2\), \(g : \partial \Omega \to \mathbb{C}\) is such that \(|g |= 1\) on \(\partial \Omega\), and \(\varepsilon > 0\) is a parameter ...
Almeida, Luís, Bethuel, Fabrice
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Integrability and chaotic dynamics in nonlinear dispersive stochastic model
Results in Applied MathematicsThis paper focuses on obtaining exact solutions and dynamical analysis of the stochastic real-valued Ginzburg–Landau equation driven by multiplicative Itô noise.
Muhammad Aziz-ur-Rehman +3 more
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Results in Physics, 2023 This article investigates the significance of the unsteady nonlinear Landau–Ginzburg–Higgs equation in the context of superfluids and Bose–Einstein condensates. The problem of interest is the search for new exact solutions within this equation. To tackle
Shafiq Ahmad +6 more
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