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Results in PhysicsThis paper employs the Caputo–Hadamard derivative to create the coupled nonlinear fractional Ginzburg–Landau equations. An orthonormal version of the discrete Legendre polynomials is utilized to generate a numerical strategy for this system.
M.H. Heydari, D. Baleanu, M. Bayram
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Non-Linear Stability Analysis of Higher Order Dissipative Partial Differential Equations
, 1998 We extend the invariant manifold method for analyzing the asymptotics of dissipative partial differential equations on unbounded spatial domains to treat equations in which the linear part has order greater than two. One important example of this type of
Eckmann, J. -P., Wayne, C. E.
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Variable coefficient complex Ginzburg-Landau equation [PDF]
, 2019 Yusuke Uchiyama
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Solutions of the Ginzburg-Landau equations with vorticity concentrating near a nondegenerate geodesic [PDF]
, 2021 Andrew Colinet +2 more
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Spatiotemporal complexity in Ginzburg Landau equations for anisotropic systems
, 2007 Zou, Yang +4 more
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Time-dependent Bogolubov--de-Gennes equations and non-validity of Ginzburg--Landau theory [PDF]
, 2015 Rupert L. Frank +3 more
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Convergence of the Spectral Method for Stochastic Ginzburg-Landau Equation Driven by Space-Time White Noise [PDF]
, 2003 Di Liu
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Vortex pinning by cylindrical defects in type-II superconductors: Numerical solutions to the Ginzburg-Landau equations [PDF]
, 1996 Sebastian M. Maurer +2 more
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