Fundamental and second-order super-regular breathers in vector fields

Chong Liu; Shao-Chun Chen; Nail Akhmediev

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arXiv · 2304.05799

Fundamental and second-order super-regular breathers in vector fields

Chong Liu·Shao-Chun Chen·Nail Akhmediev

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Abstract

We developed an exact theory of the super-regular (SR) breathers of Manakov equations. We have shown that the vector SR breathers 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 SR breathers and modulation instability. We have shown that in the focusing case the localised periodic initial modulation of the plane wave may excite both a single SR breather and the second-order SR breathers involving four fundamental breathers.

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Chong Liu, Shao-Chun Chen, Nail Akhmediev. 2023-04-12. Fundamental and second-order super-regular breathers in vector fields. https://arxiv.org/abs/2304.05799

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