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Soliton molecules in the kink, antikink and oscillatory background

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  • Yu, Weitian
  • Liu, Wenjun
  • Zhang, Hongxin

Abstract

Via the Hirota method, we illustrate the transmission of soliton molecules in the kink, antikink and oscillatory background, which is possessed by the nonlinear Schrödinger equation (NLSE) with variable coefficients in the optical fiber system. In this complex context, conditions for the smooth transport of soliton molecules are found. The effects of phase shift on the soliton molecule are discovered. The elastic and inelastic collisions of dark and anti-dark solitons in the kink, antikink and oscillatory background are studied. Moreover, the controls of loss/gain coefficients on the kink, antikink and oscillation in the background are revealed. These studies have potential implications for the development of phase shifters and optical fiber communication.

Suggested Citation

  • Yu, Weitian & Liu, Wenjun & Zhang, Hongxin, 2022. "Soliton molecules in the kink, antikink and oscillatory background," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003423
    DOI: 10.1016/j.chaos.2022.112132
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    References listed on IDEAS

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    1. Nandy, Sudipta & Barthakur, Abhijit, 2021. "Dark-bright soliton interactions in coupled nonautonomous nonlinear Schrödinger equation with complex potentials," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. Jiang, Yan & Qu, Qi-Xing, 2021. "Solitons and breathers for a generalized nonlinear Schrödinger equation via the binary Bell polynomials," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 179(C), pages 57-68.
    3. Wen-Xiu Ma, 2022. "Riemann–Hilbert Problems and Soliton Solutions of Type ( λ ∗ , − λ ∗ ) Reduced Nonlocal Integrable mKdV Hierarchies," Mathematics, MDPI, vol. 10(6), pages 1-21, March.
    4. Triki, Houria & Kruglov, Vladimir I., 2021. "Chirped self-similar solitary waves in optical fibers governed with self-frequency shift and varying parameters," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
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    Cited by:

    1. Konyukhov, Andrey, 2024. "Management of the discrete eigenvalues of the nonlinear Schrödinger equation using periodic dispersion perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Cao, Qi-Hao & Geng, Kai-Li & Zhu, Bo-Wei & Wang, Yue-Yue & Dai, Chao-Qing, 2023. "Scalar vortex solitons and vector dipole solitons in whispering gallery mode optical microresonators," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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