Breathers and Rogue Waves Derived from an Extended Multi-dimensional N -Coupled Higher-Order Nonlinear Schrödinger Equation in Optical Communication Systems

DOI10.1088/0253-6102/70/3/255zbMath1452.78022OpenAlexW2891900615MaRDI QIDQ3387569

Yue-Jin Cai, Qinglong Luo, Cheng-Lin Bai

Publication date: 13 January 2021

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/70/3/255

zbMATH Keywords

bilinear transformationbreathersrogue wavesmulti-dimensional\(N\)-coupled higher-order nonlinear Schrödinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08)

Related Items (2)

Equivalent transformations, bifurcations and exact solutions to a class of variable-coefficient PDE ⋮ Mode conversions and molecular forms of breathers under parameter control

Cites Work

• Breathers and rogue waves for a third order nonlocal partial differential equation by a bilinear transformation
• Multiple kink solutions for two coupled integrable (2+1)-dimensional systems
• Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell-Bloch equations
• A higher-order coupled nonlinear Schrödinger system: solitons, breathers, and rogue wave solutions
• Waves that appear from nowhere and disappear without a trace
• Nonautonomous ``rogons in the inhomogeneous nonlinear Schrödinger equation with variable coefficients
• Rogue wave solutions for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients
• Dynamics of Peregrine combs and Peregrine walls in an inhomogeneous Hirota and Maxwell-Bloch system
• Solitons and rouge waves for a generalized \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics
• Exact Soliton Solutions for the (2+1)-Dimensional Coupled Higher-Order Nonlinear Schrödinger Equations in Birefringent Optical-Fiber Communication*
• Exact envelope-soliton solutions of a nonlinear wave equation

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