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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Analytical wave families and stability dynamics in a modified complex Ginzburg-Landau model via the modified extended direct algebraic method. [PDF]
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Tunable Wavelength-Multiplexed Dual-Frequency Bound Pulse in a Carbon-Nanotube-Based Fiber Laser. [PDF]
Micromachines (Basel)Wang L +6 more
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Implicit quiescent soliton perturbation in optical metamaterials with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's forms of self-phase modulation structures by lie symmetry. [PDF]
MethodsXAdem AR +5 more
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A Perturbation Model of Gradient Energy Anisotropy for Phase-Field Simulation of Ferroelectrics. [PDF]
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Microscopic study of the intermediate mixed state in intertype superconductors. [PDF]
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Propagation of solitary waves for hydrodynamical nonlinear complex model in a fractional derivative setting. [PDF]
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