Fundamental and Second-Order Superregular Breathers in Vector Fields
Chong Liu, Shaochun Chen, Nail Akhmediev
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.
Topics & Concepts
BreatherOrder (exchange)PhysicsClassical mechanicsQuantum mechanicsNonlinear systemFinanceEconomicsNonlinear Waves and SolitonsNonlinear Photonic SystemsNonlinear Dynamics and Pattern Formation