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Modulation instability and non-degenerate Akhmediev breathers of Manakov equations (2203.03998v1)

Published 8 Mar 2022 in nlin.PS, nlin.SI, and physics.optics

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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