Characteristics of fundamental and superregular modes in a multiple self-induced transparency system

DOI10.1016/j.cnsns.2018.03.011OpenAlexW2793299014MaRDI QIDQ2207936

Chong Liu, Xin Wang, Zhan-Ying Yang, Yang Ren, Wen-Li Yang

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2018.03.011

zbMATH Keywords

breathermode transitionmultiple self-induced transparency systemsuperregular breather

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40) Soliton solutions (35C08)

Related Items (4)

Inelastic interactions, numerical breathers and chaotic wave fields for a focusing Kundu–Eckhaus equation in a nonlinear optical fiber ⋮ Soliton molecules and mixed solutions of the (2+1)-dimensional bidirectional Sawada–Kotera equation ⋮ Multi-dark soliton solutions for a coupled AB system in the geophysical flows ⋮ N-solitons, breathers and rogue waves for a generalized Boussinesq equation

Cites Work

• Waves that appear from nowhere and disappear without a trace
• Extreme waves that appear from nowhere: on the nature of rogue waves
• Modulation instability: The beginning
• Nonlinear optical waves
• Generalized Darboux transformation and localized waves in coupled Hirota equations
• Multi-Soliton Solutions of a Coupled System of the Nonlinear Schrödinger Equation and the Maxwell-Bloch Equations
• Superregular breathers in a complex modified Korteweg-de Vries system
• Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability

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