Binary Darboux transformation and multi-dark solitons for a higher-order nonlinear Schrödinger equation in the inhomogeneous optical fiber

DOI10.1088/1572-9494/abb7d6zbMath1520.37055OpenAlexW3106177044MaRDI QIDQ6094558

Unnamed Author, Xi-Yang Xie

Publication date: 14 September 2023

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

Full work available at URL: https://doi.org/10.1088/1572-9494/abb7d6

zbMATH Keywords

higher-order nonlinear Schrödinger equationdark solitonsbinary Darboux transformationinhomogeneous optical fiber

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (2)

Dark soliton solutions for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in the inhomogeneous optical fiber ⋮ Breather, soliton and rogue wave of a two-component derivative nonlinear Schrödinger equation

Cites Work

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• Solitary waves in nonautonomous nonlinear and dispersive systems: nonautonomous solitons
• Darboux transformation and multi-dark soliton forN-component nonlinear Schrödinger equations
• Periodic soliton interactions for higher-order nonlinear Schrödinger equation in optical fibers

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