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

Jia, H, Yang, R, Guo, Q and Christian, JM ORCID: https://orcid.org/0000-0003-2742-0569 2022, 'The effect of coherent coupling nonlinearity on modulation instability and rogue wave excitation' , Communications in Nonlinear Science and Numerical Simulation , p. 106246.

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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.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Journal or Publication Title: Communications in Nonlinear Science and Numerical Simulation
Publisher: Elsevier
ISSN: 1007-5704
Related URLs:
Funders: National Natural Science Foundation of China, Natural Science Foundation of Shanxi Province
Depositing User: JM Christian
Date Deposited: 17 Jan 2022 13:35
Last Modified: 15 Feb 2022 16:51
URI: http://usir.salford.ac.uk/id/eprint/62801

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