Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation

DOI10.1016/j.aml.2022.108546zbMath1520.78040OpenAlexW4312038512MaRDI QIDQ6101800

Yong Jiang Guo, Xin-Yi Gao, Wen-Rui Shan

Publication date: 20 June 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108546

zbMATH Keywords

nonlinear electrodynamicsbirefringent fibergeneralized coupled Hirota systemultra-short optical pulsessingular manifold and Bäcklund transformationsymbolic computation and analytic solutions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) PDEs on manifolds (35R01)

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Modulation instability and collision dynamics of solitons in birefringence optical fibers, \(N\)-soliton asymptotic analysis on the Gerdjikov-Ivanov equation for the Alfvén waves in a plasma

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