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Ginzburg–Landau equations involving different effects and their solitary waves
Partial Differential Equations in Applied MathematicsGinzburg–Landau (GL) equations describe a wide range of phenomena involving superconductivity, superfluidity, etc. In the present paper, Ginzburg–Landau equations involving distinct laws are considered, and as a consequence, their solitary waves in the ...
K. Hosseini +5 more
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Localized structures in coupled Ginzburg–Landau equations [PDF]
Physics Letters, Section A: General, Atomic and Solid State Physics, 2000 Coupled Complex Ginzburg-Landau equations describe generic features of the dynamics of coupled fields when they are close to a Hopf bifurcation leading to nonlinear oscillations. We study numerically this set of equations and find, within a particular range of parameters, the presence of uniformly propagating localized objects behaving as coherent ...
Montagne, Raúl +1 more
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Homogenization of Attractors to Ginzburg-Landau Equations in Media with Locally Periodic Obstacles: Critical Case [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper the Ginzburg-Landau equation is considered in locally periodic porous medium, with rapidly oscillating terms in the equation and boundary conditions.
K.A. Bekmaganbetov +3 more
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Alexandria Engineering Journal, 2021 We propose new numerical methods with adding a modified ordinary differential equation solver to the Milstein methods for solution of stiff stochastic systems.
Kazem Nouri +3 more
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Journal of Mathematics, 2023 The Ginzburg–Landau (GL) equation and the Ginzburg–Landau couple system are important models in the study of superconductivity and superfluidity. This study describes the q-homotopy analysis transform method (q-HATM) as a powerful technique for solving ...
Khalid K. Ali +2 more
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A Note on the Well-Posedness of Control Complex Ginzburg-Landau Equations in Zhidkov Spaces
Trends in Computational and Applied Mathematics, 2022 In this note, we consider the Complex Ginzburg-Landau equations with a bilinear control term in the real line. We prove well-posedness results concerned with the initial value problem for these equations in Zhidkov spaces using Splitting methods.
A. Besteiro
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Olbertian Partition Function in Scalar Field Theory
Frontiers in Physics, 2020 The Olbertian partition function is reformulated in terms of continuous (Abelian) fields described by the Landau–Ginzburg action, respectively, Hamiltonian.
R. A. Treumann +2 more
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On a system of multi-component Ginzburg-Landau vortices
Advances in Nonlinear Analysis, 2023 We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.
Hadiji Rejeb, Han Jongmin, Sohn Juhee
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London model of dual color superconductor [PDF]
EPJ Web of Conferences, 2022 The Meissner effect for the chromoelectric field E⃗a is a property of the non-perturbative QCD vacuum medium assumed to explain the observed confinement of color. The color dielectric function ϵ of such a medium should vanish.
Hošek Jiří
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Periodic dynamics in superconductors induced by an impulsive optical quench
Communications Physics, 2022 Light-induced superconductivity is a recent phenomenon where many aspects of the underlying physics are still to be fully understood. Here, the authors analyse coupled Ginzburg-Landau and Maxwell equations to investigate the dynamics of the quantum ...
Pavel E. Dolgirev +6 more
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