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Megne, L.T., Tabi, C.B. and Kofane, T.C. (2020) Modulation Instability in Nonlinear Metamaterials Modeled by a Cubic-Quintic Complex Ginzburg-Landau Equation beyond the Slowly Varying Envelope Approximation. Physical Review E, 102, Article ID: 042207.
https://doi.org/10.1103/physreve.102.042207

has been cited by the following article:

• TITLE: Controlling Nonlinear Signal Amplification in Superconductors via Modulational Instability

  AUTHORS: Paldou Yaya Alexis, Essebe Eba David, Kamdem Tamwa Romuald, Kol Guy Richard

  KEYWORDS: Modulational Instability, Superconductors, Nonlinear Waves, Signal Dynamics, Complex Ginzburg-Landau Equation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.9, September 14, 2026

  ABSTRACT: We investigate nonlinear signal propagation in superconducting media using the complete complex Ginzburg-Landau equation. A perturbative modulational instability framework is employed to derive analytical expressions for the dispersion relation and growth rate. The analysis reveals well-defined instability domains where small perturbations are exponentially amplified, giving rise to high-amplitude localized breather structures. Group velocity dispersion and phase self-modulation govern the transition between stable and unstable regimes. The growth rate exhibits maxima corresponding to optimal conditions for energy localization and signal amplification; outside these regions, the system supports stable, low-amplitude periodic waves. This analytical framework opens perspectives for the design of superconducting devices, photonic technologies, and advanced signal processing applications.