Degenerate fundamental nonlinear waves on the nonzero-zero background for a coupled Hirota system in a birefringent fiber

DOI10.1016/j.amc.2022.127542OpenAlexW4297908048MaRDI QIDQ2096280

He-Yuan Tian, Bo Tian, Dan-Yu Yang, Su-Su Chen

Publication date: 16 November 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127542

zbMATH Keywords

asymptotic analysisbirefringent fibercoupled Hirota systemdegenerate fundamental nonlinear wavesnonzero-zero background

Mathematics Subject Classification ID

Partial differential equations (35-XX) Optics, electromagnetic theory (78-XX) Quantum theory (81-XX)

Cites Work

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• Characteristics of rogue waves on a soliton background in the general three-component nonlinear Schrödinger equation
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• Multiple pole solutions of the nonlinear Schrödinger equation
• Generalized Darboux transformation and localized waves in coupled Hirota equations
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• Soliton resolution for the Wadati-Konno-Ichikawa equation with weighted Sobolev initial data
• Modulational instability and homoclinic orbit solutions in vector nonlinear Schrödinger equation
• Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions
• Degenerate multi-solitons in the sine-Gordon equation
• Vector semirational rogue waves and modulation instability for the coupled higher-order nonlinear Schrödinger equations in the birefringent optical fibers
• The n -component nonlinear Schrödinger equations: dark–bright mixed N - and high-order solitons and breathers, and dynamics
• Asymptotics for the multiple pole solutions of the nonlinear Schrödinger equation
• The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures

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