Chirped self-similar cnoidal waves and similaritons in an inhomogeneous optical medium with resonant nonlinearity. (December 2020)

• Record Type: Journal Article
• Authors: Meradji, Selma; Triki, Houria; Zhou, Qin; Biswas, Anjan; Ekici, Mehmet; Liu, Wenjun
• Is Part Of: Chaos, solitons and fractals. Volume 141(2020)
• Publication Date: 2020-12
• Subjects: Cnoidal wave -- Similaritons -- Resonant nonlinearity; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2020.110441
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: Propagation of chirped self-similar cnoidal wave and similaritons in an inhomogeneous optical media are studied. Varying resonant and Kerr law nonlinearities, dispersion, and gain//absorption are considered. Dynamical behaviors of those presented similaritons are discussed. 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.