TY - JOUR
T1 - Propagation of chirped periodic and localized waves with higher-order effects through optical fibers
AU - Daoui, Abdel Kader
AU - Messouber, Abdelouahab
AU - Triki, Houria
AU - Zhou, Qin
AU - Biswas, Anjan
AU - Liu, Wenjun
AU - Alzahrani, Abdullah K.
AU - Belic, Milivoj R.
N1 - Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2021/5
Y1 - 2021/5
N2 - We study the propagation properties of nonlinear periodic waves in an optical fiber medium exhibiting Kerr dispersion and quintic nonlinearity. The quintic derivative nonlinear Schrödinger equation is applied to model the evolution of femtosecond light waves in such system. Unlike periodic structures in Kerr media, the novel waves possess a nonlinear chirp which varies with their intensity. In addition to the linear part, the pulse chirp also includes two intensity dependent chirping terms. The conditions on fiber parameters for the existence of the newly found periodic waves are presented. A wide variety of solitary pulse shapes including the bright, dark, kink, anti-kink, and gray solitary waves are obtained in the long-wave limit. Our results show that Kerr dispersion plays a crucial role in introducing a nonlinear chirp for the periodic and solitary waves. Finally, the stability of these nonlinearly chirped solutions is numerically studied under the finite perturbations.
AB - We study the propagation properties of nonlinear periodic waves in an optical fiber medium exhibiting Kerr dispersion and quintic nonlinearity. The quintic derivative nonlinear Schrödinger equation is applied to model the evolution of femtosecond light waves in such system. Unlike periodic structures in Kerr media, the novel waves possess a nonlinear chirp which varies with their intensity. In addition to the linear part, the pulse chirp also includes two intensity dependent chirping terms. The conditions on fiber parameters for the existence of the newly found periodic waves are presented. A wide variety of solitary pulse shapes including the bright, dark, kink, anti-kink, and gray solitary waves are obtained in the long-wave limit. Our results show that Kerr dispersion plays a crucial role in introducing a nonlinear chirp for the periodic and solitary waves. Finally, the stability of these nonlinearly chirped solutions is numerically studied under the finite perturbations.
KW - 42.65.Tg
KW - Kerr dispersion
KW - Nonlinear chirp
KW - Periodic wave
UR - http://www.scopus.com/inward/record.url?scp=85103089264&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2021.110873
DO - 10.1016/j.chaos.2021.110873
M3 - Article
AN - SCOPUS:85103089264
SN - 0960-0779
VL - 146
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
M1 - 110873
ER -