Modulation instability and non-degenerate Akhmediev breathers of Manakov equations
- Resource Type
- Working Paper
- Authors
- Liu, Chong; Chen, Shao-Chun; Yao, Xiankun; Akhmediev, Nail
- Source
- Subject
- Nonlinear Sciences - Pattern Formation and Solitons
Nonlinear Sciences - Exactly Solvable and Integrable Systems
Physics - Optics
- Language
We reveal a new class of \textit{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.
Comment: 6 pages, 3 figures