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

Дата
2020
Авторы
Meradji, S.
Triki, H.
Zhou, Q.
Ekici, M.
Biswas, A.
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Организационные подразделения
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Аннотация
© 2020 Elsevier LtdUnder 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.
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Chirped self-similar cnoidal waves and similaritons in an inhomogeneous optical medium with resonant nonlinearity / Meradji, S. [et al.] // Chaos, Solitons and Fractals. - 2020. - 141. - 10.1016/j.chaos.2020.110441
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