Fundamental and Second-Order Superregular Breathers in Vector Fields

Chong Liu; Shao Chun Chen; Nail Akhmediev

doi:10.1103/PhysRevLett.132.027201

Fundamental and Second-Order Superregular Breathers in Vector Fields

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

^*Corresponding author for this work

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

28 Citations (Scopus)

Abstract

We developed an exact theory of the superregular breathers (SRBs) of Manakov equations. We have shown that the vector SRBs do exist both in the cases of focusing and defocusing Manakov systems. The theory is based on the eigenvalue analysis and on finding the exact links between the SRBs and modulation instability. We have shown that in the focusing case the localized periodic initial modulation of the plane wave may excite both a single SRB and the second-order SRBs involving four fundamental breathers.

Original language	English
Article number	027201
Journal	Physical Review Letters
Volume	132
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevLett.132.027201
Publication status	Published - 12 Jan 2024

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10.1103/PhysRevLett.132.027201

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abstract = "We developed an exact theory of the superregular breathers (SRBs) of Manakov equations. We have shown that the vector SRBs do exist both in the cases of focusing and defocusing Manakov systems. The theory is based on the eigenvalue analysis and on finding the exact links between the SRBs and modulation instability. We have shown that in the focusing case the localized periodic initial modulation of the plane wave may excite both a single SRB and the second-order SRBs involving four fundamental breathers.",

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AB - We developed an exact theory of the superregular breathers (SRBs) of Manakov equations. We have shown that the vector SRBs do exist both in the cases of focusing and defocusing Manakov systems. The theory is based on the eigenvalue analysis and on finding the exact links between the SRBs and modulation instability. We have shown that in the focusing case the localized periodic initial modulation of the plane wave may excite both a single SRB and the second-order SRBs involving four fundamental breathers.

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Fundamental and Second-Order Superregular Breathers in Vector Fields

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