Modulation instability and non-degenerate Akhmediev breathers of Manakov equations

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.

6 pages, 3 figures

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Cited by in corpus (2)

• Fundamental and second-order dark soliton solutions of 2- and 3-component Manakov equations in the defocusing regime
• Higher-order modulation instability and multi-Akhmediev breathers of Manakov equations: Frequency jumps over the stable gaps between the instability bands