Modulation Instability and Non-Degenerate Akhmediev Breathers of Manakov Equations

Chong Liu; Shao Chun Chen; Xiankun Yao; Nail Akhmediev

doi:10.1088/0256-307X/39/9/094201

Modulation Instability and Non-Degenerate Akhmediev Breathers of Manakov Equations

Chong Liu^*, Shao Chun Chen, Xiankun Yao, Nail Akhmediev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

We reveal a special subset of 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.

Original language	English
Article number	094201
Journal	Chinese Physics Letters
Volume	39
Issue number	9
DOIs	https://doi.org/10.1088/0256-307X/39/9/094201
Publication status	Published - 1 Aug 2022

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title = "Modulation Instability and Non-Degenerate Akhmediev Breathers of Manakov Equations",

abstract = "We reveal a special subset of 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.",

author = "Chong Liu and Chen, \{Shao Chun\} and Xiankun Yao and Nail Akhmediev",

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AU - Yao, Xiankun

AU - Akhmediev, Nail

PY - 2022/8/1

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N2 - We reveal a special subset of 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.

AB - We reveal a special subset of 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.

UR - https://www.scopus.com/pages/publications/85136019220

U2 - 10.1088/0256-307X/39/9/094201

DO - 10.1088/0256-307X/39/9/094201

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VL - 39

JO - Chinese Physics Letters

JF - Chinese Physics Letters

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Modulation Instability and Non-Degenerate Akhmediev Breathers of Manakov Equations

Abstract

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