The effect of coherent coupling nonlinearity on modulation instability
and rogue wave excitation

Jia, H; Yang, R; Guo, Q; Christian, JM

Abstract

We study modulation instability (MI) in both anomalous and normal dispersion regimes
of a coherently coupled system. It is found that there exist three types of MI spectra with distinct
characteristics termed baseband, passband, and zero-baseband based on the instability analysis of
the in-phase and out-of-phase CW solutions. The coherent coupling nonlinearity is the source of
the passband and zero-baseband variants. Guided by analytical predictions, we investigate
numerically the excitation of rogue waves on weakly perturbed in-phase and out-of-phase
continuous wave solutions in the parameter space where different kinds of MI exist. Simulations
provide supporting evidence that rogue waves can only emerge in regimes where baseband or
zero-baseband MI occurs. Moreover, the peak intensity of rogue waves in the case of baseband MI
is greater than in the zero-baseband case. Finally, a combination of analysis and numerics
uncovers the parameter conditions necessary for the generation of rogue waves.

Citation

and rogue wave excitation. Communications in Nonlinear Science and Numerical Simulation, 106246. https://doi.org/10.1016/j.cnsns.2021.106246

• Journal Article Type: Article
• Acceptance Date: Dec 30, 2021
• Online Publication Date: Jan 10, 2022
• Publication Date: Jan 10, 2022
• Deposit Date: Jan 17, 2022
• Publicly Available Date: Jan 10, 2023
• Journal: Communications in Nonlinear Science and Numerical Simulation
• Print ISSN: 1007-5704
• Publisher: Elsevier
• Pages: 106246
• DOI: https://doi.org/10.1016/j.cnsns.2021.106246
• Publisher URL: https://doi.org/10.1016/j.cnsns.2021.106246
• Related Public URLs: https://www.sciencedirect.com/journal/communications-in-nonlinear-science-and-numerical-simulation
• Additional Information: Funders : National Natural Science Foundation of China;Natural Science Foundation of Shanxi Province; Grant Number: 61775126; Grant Number: 201801D221164