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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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Condensed Matter, 2021 We calculate the parameters of the Ginzburg–Landau (GL) equation of a three-dimensional attractive Fermi gas around the superfluid critical temperature.
Filippo Pascucci +2 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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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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Advances in Difference Equations, 2021 In this paper, a random coupled Ginzburg–Landau equation driven by colored noise on unbounded domains is considered, in which the nonlinear term satisfies a local Lipschitz condition.
Zhang Chen, Lingyu Li, Dandan Yang
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Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation
Frontiers in Physics, 2020 The complex Ginzburg–Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi elliptic function solutions are obtained systematically using a modified ...
Kamyar Hosseini +6 more
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On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation
Abstract and Applied Analysis, 2014 We study the analytic property of the (generalized) quadratic derivative Ginzburg-Landau equation (1/2⩽α⩽1) in any spatial dimension n⩾1 with rough initial data.
Chunyan Huang
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Solving generalized quintic complex Ginzburg–Landau equation by homotopy analysis method
Ain Shams Engineering Journal, 2018 In this paper, the generalized quintic complex Ginzburg–Landau equation is considered to be solved, by means of the homotopy analysis method (HAM). Two examples are solved to illustrate the efficiency of the proposed method.
Soheila Naghshband +1 more
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Advances in Difference Equations, 2019 Ultrashort pulse propagation in optical transmission lines and phenomena in particle physics can be investigated via the cubic–quintic Ginzburg–Landau equation and the Phi-4 equation, respectively.
Sekson Sirisubtawee +3 more
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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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