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


Meradji S., Triki H., Zhou Q., Biswas A., EKİCİ M. , Liu W.

CHAOS SOLITONS & FRACTALS, vol.141, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 141
  • Publication Date: 2020
  • Doi Number: 10.1016/j.chaos.2020.110441
  • Title of Journal : CHAOS SOLITONS & FRACTALS
  • Keywords: Cnoidal wave, Similaritons, Resonant nonlinearity

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 Schrodinger 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. (C) 2020 Elsevier Ltd. All rights reserved.