Localized nonlinear waves in a two-mode nonlinear fiber

2012/10/22 by Li-Chen Zhao, Jie Liu · 3 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Breather #Classical mechanics #Computer science #Mechanics #Mode (computer interface) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Quantum mechanics #Rogue wave #Soliton #nlin.PS

paper · pdf · doi:10.1364/josab.29.003119

published as Vol. 29, No. 11 / November 2012 / J. Opt. Soc. Am. B 3119-3127 · 8 pages, 8 figures

openalex publication_date 2012/10/22 · arxiv created 2015/01/23 · arxiv updated 2015/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We find that diverse nonlinear waves, such as soliton, Akhmediev breather, and rogue waves (RWs), can emerge and interplay with each other in a two-mode coupled system. It provides a good platform to study interaction between different kinds of nonlinear waves. In particular, we obtain dark RWs analytically for the first time in the coupled system, and find that two RWs can appear in the temporal-spatial distribution. Possible ways to observe these nonlinear waves are discussed.

Citations

• Motional Dressed States in a Bose-Einstein Condensate: Superfluidity at Supersonic Speed
• Watching Dark Solitons Decay into Vortex Rings in a Bose-Einstein Condensate
• Modulation of breathers in cigar-shaped Bose–Einstein condensates
• Oscillations and interactions of dark and dark–bright solitons in Bose–Einstein condensates
• Full-time dynamics of modulational instability in spinor Bose-Einstein condensates

Cited by

• Dirac monopole potentials with high charges underlying nonlinear waves
• Non-degenerate multi-rogue waves and easy ways of their excitation
• Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrödinger equation

Related

• Breathers and black rogue waves of coupled nonlinear Schrödinger equations with dispersion and nonlinearity of opposite signs
• Pair-Tunneling Induced Localized Waves in a Vector Nonlinear Schrödinger Equation
• Observation of a Group of Dark Rogue Waves in a Telecommunication Optical Fiber
• Rogue waves of the Frobenius nonlinear Schrödinger equation
• The optical rogue wave patterns in coupled defocusing systems