Rogue-pair and dark-bright-rogue waves of the coupled nonlinear Schrödinger equations from inhomogeneous femtosecond optical fibers

DOI10.1063/1.4961146zbMath1378.35288OpenAlexW2514261303WikidataQ44034570 ScholiaQ44034570MaRDI QIDQ4601339

Gholam-Ali Zakeri, Emmanuel Yomba

Publication date: 15 January 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4961146

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (4)

Periodic and rational solutions of the reduced Maxwell-Bloch equations ⋮ A connection between the maximum displacements of rogue waves and the dynamics of poles in the complex plane ⋮ Solitons in multi-body interactions for a fully modulated cubic-quintic Gross-Pitaevskii equation ⋮ Dynamics of Solitons in High-Order Nonlinear Schrödinger Equations in Fiber Optics

Cites Work

• Unnamed Item
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• New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients
• Novel rogue waves in an inhomogenous nonlinear medium with external potentials
• Dynamics of wide and snake-like pulses in coupled Schrödinger equations with full-modulated nonlinearities
• Dark and composite rogue waves in the coupled Hirota equations
• A system of coupled partial differential equations exhibiting both elevation and depression rogue wave modes
• Modulation instability and periodic solutions of the nonlinear Schrödinger equation
• Waves that appear from nowhere and disappear without a trace
• Rogue waves in the ocean
• The management and containment of self-similar rogue waves in the inhomogeneous nonlinear Schrödinger equation
• Multi-rogue waves for a higher-order nonlinear Schrödinger equation in optical fibers
• Stable 2D localized modes in anisotropic media with harmonic and \(\mathcal{PT}\)-symmetric potentials
• Generalized Darboux transformation and localized waves in coupled Hirota equations
• Rogue wave solutions for the coupled cubic-quintic nonlinear Schrödinger equations in nonlinear optics
• Breathers and `black' rogue waves of coupled nonlinear Schrödinger equations with dispersion and nonlinearity of opposite signs
• Vector solitons in an extended coupled Schrödinger equations with modulated nonlinearities
• Integrability and soliton-like solutions for the coupled higher-order nonlinear Schrödinger equations with variable coefficients in inhomogeneous optical fibers
• Solitons in coupled nonlinear Schrödinger equations with variable coefficients
• On the characterization of breather and rogue wave solutions and modulation instability of a coupled generalized nonlinear Schrödinger equations
• High-order rogue waves for the Hirota equation
• Rogue wave solutions of AB system
• Darboux transformations in integrable systems. Theory and their applications to geometry
• Financial Rogue Waves
• Water waves, nonlinear Schrödinger equations and their solutions
• The Darboux transformation of the derivative nonlinear Schrödinger equation
• The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
• On the chance of freak waves at sea
• Oceanic Rogue Waves
• Dark soliton solutions of the coupled Hirota equation in nonlinear fiber
• Unsteady water wave modulations: Fully nonlinear solutions and comparison with the nonlinear Schrödinger equation.
• Self-similar rogue waves in an inhomogeneous generalized nonlinear Schrödinger equation
• Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates
• Controllable mechanism of breathers in the \((2+1)\)-dimensional nonlinear Schrödinger equation with different forms of distributed transverse diffraction

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