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arXiv · 2203.03998

Modulation instability and non-degenerate Akhmediev breathers of Manakov equations

Chong Liu·Shao-Chun Chen·Xiankun Yao·Nail Akhmediev
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Abstract

We reveal a new class of \textit{non-degenerate} Akhmediev breather (AB) solutions of Manakov equations that only exist in the focusing case. Based on exact solutions, we present the existence diagram of such excitations on the frequency-wavenumber plane. Conventional single-frequency modulation instability leads to simultaneous excitation of three ABs with two of them being non-degenerate.

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Chong Liu, Shao-Chun Chen, Xiankun Yao, Nail Akhmediev. 2022-03-08. Modulation instability and non-degenerate Akhmediev breathers of Manakov equations. https://doi.org/10.1088/0256-307x%2F39%2F9%2F094201

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