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Updated: Apr 7, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Modulational instability regions for coupled Ginzburg-Landau equations with higher order of nonlinearities
Gholam-Ali Zakeri1, Emmanuel Yomba2
1Department of Mathematics, and Interdisciplinary Research Institute for the Sciences (IRIS), California State University-Northridge, Northridge, California 91330-8313, USA.
Abstract:
A generalized (2+1)-dimensional coupled cubic-quintic Ginzburg-Landau equation with higher-order nonlinearities is fully investigated for modulational instability regions. We obtained the constraints that allow the modulational instability (MI) procedure to transform the system under consideration into an analysis of the roots of a polynomial equation of the fourth degree. Because of the complexity of the dispersion relation and its dependence on many parameters, we study numerous examples that are presented graphically. A numerical simulation based on a split-step Fourier method is implemented on the above equation. In addition to the general case, we have considered some special cases that allow us to investigate the behavior of MI in different regions.
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