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Propagation properties of chirped optical similaritons with dual-power law nonlinearity

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  • Merabti, Abdelouahab
  • Triki, Houria
  • Azzouzi, Faiçal
  • Zhou, Qin
  • Biswas, Anjan
  • Liu, Wenjun
  • Alzahrani, Abdullah Kamis
  • EL-Akrmi, Abdessetar

Abstract

We study the transmission of femtosecond light waves in an inhomogeneous dual-power law nonlinear model under the influence of self-frequency shift effect. Pulse evolution in such system is described by a generalized higher-order nonlinear Schrödinger equation incorporating the contributions of distributed self-frequency shift, dispersion, dual-power law nonlinearity, and gain/loss. As a result, a variety of analytical similaritons are derived for the first time by a similarity transformation connected to the related constant-coefficients model. We found that in the presence of self-frequency shift effect, the optical similaritons acquire a nonlinear chirp which has a power-law dependence on the intensity of the pulse. The evolution behaviors of presented chirped similaritons are also presented in two different soliton control systems.

Suggested Citation

  • Merabti, Abdelouahab & Triki, Houria & Azzouzi, Faiçal & Zhou, Qin & Biswas, Anjan & Liu, Wenjun & Alzahrani, Abdullah Kamis & EL-Akrmi, Abdessetar, 2020. "Propagation properties of chirped optical similaritons with dual-power law nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920305543
    DOI: 10.1016/j.chaos.2020.110158
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    1. Li, Pengfei & Malomed, Boris A. & Mihalache, Dumitru, 2020. "Symmetry breaking of spatial Kerr solitons in fractional dimension," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    2. Qiu, Yunli & Malomed, Boris A. & Mihalache, Dumitru & Zhu, Xing & Zhang, Li & He, Yingji, 2020. "Soliton dynamics in a fractional complex Ginzburg-Landau model," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
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    1. Aly R. Seadawy & Hanadi Zahed & Syed T. R. Rizvi, 2022. "Diverse Forms of Breathers and Rogue Wave Solutions for the Complex Cubic Quintic Ginzburg Landau Equation with Intrapulse Raman Scattering," Mathematics, MDPI, vol. 10(11), pages 1-22, May.

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