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

Selma Meradji, Houria Triki, Qin Zhou, Anjan Biswas, Mehmet Ekici and Wenjun Liu

Chaos, Solitons & Fractals, 2020, vol. 141, issue C

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.

Keywords: Cnoidal wave; Similaritons; Resonant nonlinearity (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:141:y:2020:i:c:s096007792030833x

DOI: 10.1016/j.chaos.2020.110441

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