Results 31 to 40 of about 8,988 (223)
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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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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Limiting vorticities for the Ginzburg-Landau equations
Duke Mathematical Journal, 2003 The asymptotic limit of solutions to the Ginzburg-Landau equations in two dimensions is investigated. The authors study the Ginzburg-Landau system with magnetic field describing a superconductor in an applied magnetic field in the ``London limit'' of a Ginzburg-Landau parameter \(\kappa\) tending to infinity. The asymptotic behavior is examined of the `
Sandier, Etienne, Serfaty, Sylvia
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Conservative Finite-Difference Scheme for 1D Ginzburg–Landau Equation
Mathematics, 2022 In this study, our attention is focused on deriving integrals of motion (conservation laws; invariants) for the problem of an optical pulse propagation in an optical fiber containing an optical amplifier or attenuator because, to date, such invariants ...
Vyacheslav Trofimov +5 more
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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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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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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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Two-dimensional discrete Ginzburg-Landau solitons
, 2007 We study the two-dimensional discrete Ginzburg-Landau equation. In the linear limit, the dispersion and gain curves as well as the diffraction pattern are determined analytically.
Efremidis, NK +5 more
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Study of heat and mass transport in Couple-Stress liquid under G-jitter effect
Ain Shams Engineering Journal, 2018 In the present paper, we deal with the effect of G-jitter (time periodic gravity modulation) on the stability of double diffusive convection in couple stress liquid by method of non-linear analysis. The infinitesimal disturbances are expanded in terms of
Anand Kumar, Vanita, Vinod K. Gupta
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