Asymptotic breathers in the Manakov system

Abstract

We construct vector (two-component) asymptotic Akhmediev breathers in the Manakov system, matching generalized modulational-instability (gMI) eigenmodes to decaying tails of the breather states. The branch-resolved matching provides analytical results linking the gMI-perturbation envelopes to the positions of the emerging breathers. Numerical simulations of the system with the focusing and defocusing nonlinearities corroborate the analytical predictions for each MI branch. We further develop the asymptotic theory for two-breather solutions generated by two independent gMI modes, linking their temporal separation to the input envelopes and interaction-induced shifts. Further numerical simulations reveal that breather patterns exhibit robustness in the presence of weak nonintegrable perturbations. These findings establish a framework relating experimentally controllable input modulations to the branch-selective formation and positioning of breathers in multicomponent nonlinear systems.

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BibTeX RIS

BibTeX

@misc{ling2026asymptotic,
  title = {{Asymptotic breathers in the Manakov system}},
  author = {Liming Ling and Boris A. Malomed and Yan-Hong Qin and Jin-Peng Yang and Hao-Jun Yin and Li-Chen Zhao},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26436},
  eprint = {2610.26436},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26436},
}

RIS

TY  - UNPB
TI  - Asymptotic breathers in the Manakov system
AU  - Liming Ling
AU  - Boris A. Malomed
AU  - Yan-Hong Qin
AU  - Jin-Peng Yang
AU  - Hao-Jun Yin
AU  - Li-Chen Zhao
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26436
UR  - https://arxiv.org/abs/2610.26436
AB  - We construct vector (two-component) asymptotic Akhmediev breathers in the Manakov system, matching generalized modulational-instability (gMI) eigenmodes to decaying tails of the breather states. The branch-resolved matching provides analytical results linking the gMI-perturbation envelopes to the positions of the emerging breathers. Numerical simulations of the system with the focusing and defocusing nonlinearities corroborate the analytical predictions for each MI branch. We further develop the asymptotic theory for two-breather solutions generated by two independent gMI modes, linking their temporal separation to the input envelopes and interaction-induced shifts. Further numerical simulations reveal that breather patterns exhibit robustness in the presence of weak nonintegrable perturbations. These findings establish a framework relating experimentally controllable input modulations to the branch-selective formation and positioning of breathers in multicomponent nonlinear systems.
ER  -

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