Article citationsMore>>

Kamel, N.M., Ahmed, H.M. and Rabie, W.B. (2025) Solitons Unveilings and Modulation Instability Analysis for Sixth-Order Coupled Nonlinear Schrödinger Equations in Fiber Bragg Gratings. AIMS Mathematics, 10, 6952-6980.
https://doi.org/10.3934/math.2025318

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.