Bilinear forms, modulational instability and dark solitons for a fifth-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous optical fiber

DOI10.1016/J.AMC.2019.01.027zbMath1428.78004OpenAlexW2915160962MaRDI QIDQ2010696

Qian-Min Huang, Lei Hu, Yi-Tian Gao

Publication date: 27 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2019.01.027

zbMATH Keywords

stabilitybilinear formsdark solitonsoptical fiberfifth-order variable-coefficient nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Geometric optics (78A05)

Related Items (3)

Optical solitons and stability regions of the higher order nonlinear Schrödinger's equation in an inhomogeneous fiber ⋮ Nonlinear control for soliton interactions in optical fiber systems ⋮ Breather-like solitons, rogue waves, quasi-periodic/chaotic states for the surface elevation of water waves

Cites Work

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• Multi-soliton management by the integrable nonautonomous nonlinear integro-differential Schrödinger equation
• Hierarchies of Coupled Soliton Equations. I
• Near homoclinic orbits of the focusing nonlinear Schrödinger equation
• Exact envelope-soliton solutions of a nonlinear wave equation

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