Modulation instability in higher-order nonlinear Schrödinger equations

• Main Authors: Chowdury, Amdad, Ankiewicz, Adrian, Akhmediev, Nail, Chang, Wonkeun
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2022
• Subjects: Engineering::Electrical and electronic engineering; Modulation Instability; Schrödinger Equation
• Online Access: https://hdl.handle.net/10356/157565
• Institution: Nanyang Technological University

We investigate the dynamics of modulation instability (MI) and the corresponding breather solutions to the extended nonlinear Schrödinger equation that describes the full scale growth-decay cycle of MI. As an example, we study modulation instability in connection with the fourth-order equation in detail. The higher-order equations have free parameters that can be used to control the growth-decay cycle of the MI; that is, the growth rate curves, the time of evolution, the maximal amplitude, and the spectral content of the Akhmediev Breather strongly depend on these coefficients.