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

33 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

Access to Document

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

Cite this

@article{6c2e11632f514db8a67d4f4525218104,

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",

note = "Publisher Copyright: {\textcopyright} 2022 Chinese Physical Society and IOP Publishing Ltd.",

year = "2022",

month = aug,

day = "1",

doi = "10.1088/0256-307X/39/9/094201",

language = "English",

volume = "39",

journal = "Chinese Physics Letters",

issn = "0256-307X",

publisher = "IOP Publishing Ltd.",

number = "9",

}

TY - JOUR

T1 - Modulation Instability and Non-Degenerate Akhmediev Breathers of Manakov Equations

AU - Liu, Chong

AU - Chen, Shao Chun

AU - Yao, Xiankun

AU - Akhmediev, Nail

PY - 2022/8/1

Y1 - 2022/8/1

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

M3 - Article

SN - 0256-307X

VL - 39

JO - Chinese Physics Letters

JF - Chinese Physics Letters

IS - 9

M1 - 094201

ER -

Modulation Instability and Non-Degenerate Akhmediev Breathers of Manakov Equations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this