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Chirped self-similar cnoidal waves and similaritons in an inhomogeneous optical medium with resonant nonlinearity

Author

Listed:
  • Meradji, Selma
  • Triki, Houria
  • Zhou, Qin
  • Biswas, Anjan
  • Ekici, Mehmet
  • Liu, Wenjun

Abstract

Under investigation in this work is the self-similar propagation of light waves inside optical fibers with varying resonant and Kerr law nonlinearities, dispersion, and gain or absorption. A generalized resonant nonlinear Schrödinger equation (NLSE) with distributed parameters that describes the pulse evolution in such inhomogeneous optical system has been studied by the similarity transformation method, and a class of self-similar cnodial wave and similariton solutions is presented. It is found that the obtained bright and dark similaritons have a quadratic phase variation in time implying that the associated frequency chirp is linear. We also discuss the applicability of these linearly chirped optical similaritons in a periodic distributed fiber medium. The results show that a suitable choice of the dispersion and cubic nonlinearity parameters enables one to control the similariton structure and dynamical behavior.

Suggested Citation

  • Meradji, Selma & Triki, Houria & Zhou, Qin & Biswas, Anjan & Ekici, Mehmet & Liu, Wenjun, 2020. "Chirped self-similar cnoidal waves and similaritons in an inhomogeneous optical medium with resonant nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    • Handle: RePEc:eee:chsofr:v:141:y:2020:i:c:s096007792030833x
    DOI: 10.1016/j.chaos.2020.110441
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