2020/12/31 by Guoqiang Zhang, Liming Ling, Zhenya Yan +2
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Boundary value problem #Classical mechanics #Component (thermodynamics) #Degeneracy (biology) #Geometry #Integrable system #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Schrödinger equation #Nonlinear Waves and Solitons #Nonlinear system #Parametric statistics #Parity (physics) #Physics #Quadratic equation #Quantum mechanics #Rogue wave #Symmetry (geometry) #math-ph #math.AP #math.MP #nlin.PS #nlin.SI #physics.optics
paper · pdf · doi:10.1063/5.0048922
published as Chaos 31, 063120 (2021) · 6 pages, 3 figures
arxiv created 2020/12/31 · openalex publication_date 2021/06/01 · openalex created_date 2021/06/22 · arxiv updated 2021/11/19 · openalex updated_date 2026/08/05
Extreme events are investigated in the integrable n-component nonlinear Schrödinger (NLS) equation with focusing nonlinearity. We report novel multi-parametric families of rational vector rogue wave (RW) solutions featuring the parity-time ( PT) symmetry, which are characterized by non-identical boundary conditions for the components that are consistent with the degeneracy of n branches of Benjamin-Feir instability. Explicit examples of PT-symmetric rational vector RWs are presented. Subject to the specific choice of the parameters, high-amplitude RWs are generated. The effect of a small non-integrable deformation of the 3-NLS equation on the excitation of vector RWs is discussed. The reported results can be useful for the design of experiments for observation of high-amplitude RWs in multi-component nonlinear physical systems.