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Chirped self-similar solitary waves in optical fibers governed with self-frequency shift and varying parameters

Author

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  • Triki, Houria
  • Kruglov, Vladimir I.

Abstract

We demonstrate that when self-frequency shift effect is the dominant higher-order nonlinear process affecting ultrashort light pulse propagation in an inhomogeneous optical fiber media, a novel class of self-similar solitary waves that are characterized by a nonlinear chirp existed. The solitary wave profiles are of bright, dark, kink, and gray type, illustrating the potentially rich set of chirped self-similar pulses in the inhomogeneous fiber system. Compared with the cubic nonlinear Schrödinger equation with distributed coefficients, the phase of these chirped pulses exhibits a nonlinear structure which makes them more suitable for diverse physical applications. The application of obtained chirped self-similar pulses is also discussed in a periodic distributed amplification system. The results show that one may control the propagation dynamics of the presented nonlinearly chirped pulses by an appropriate choice of the dispersion and nonlinearity parameters.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309425
    DOI: 10.1016/j.chaos.2020.110551
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    Cited by:

    1. Yu, Weitian & Liu, Wenjun & Zhang, Hongxin, 2022. "Soliton molecules in the kink, antikink and oscillatory background," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. Yu, Weitian & Luan, Zitong & Zhang, Hongxin & Liu, Wenjun, 2022. "Collisions of three higher order dark double- and single-hump solitons in optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

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