Periodic and solitary waves in an inhomogeneous optical waveguide with third-order dispersion and self-steepening nonlinearity

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Vladimir I. Kruglov ◽  
Houria Triki
Optik ◽  
2018 ◽  
Vol 163 ◽  
pp. 142-151 ◽  
Author(s):  
Mustafa Inc ◽  
Aliyu Isa Aliyu ◽  
Abdullahi Yusuf ◽  
Dumitru Baleanu

2005 ◽  
Vol 60 (8-9) ◽  
pp. 557-565
Author(s):  
Woo-Pyo Hong ◽  
Jong-Jae Kim

We find new analytic solitary-wave solutions, having a nonzero background at infinity, of the coupled Korteweg-De Vries equation, using the auxiliary function method. We study the dynamical properties of the solitary-waves by numerical simulations. It is shown that the solitary-waves can be stable or unstable, depending on the coefficients of the model. We study the interaction dynamics by using the solitary-waves as initial profiles to show that the mass and energy of the coupled Korteweg- De Vries can be conserved for a negative third-order dispersion term. - PACS numbers: 03.40.Kf, 02.30.Jr, 47.20.Ky, 52.35.Mw


2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Md. Ibadul Islam ◽  
Md Saiful Islam

AbstractIn this work, a dispersion compensating photonic crystal fiber (DC-PCF) is proposed in which dispersion, dispersion slope, second order dispersion, third order dispersion, nonlinearity, effective mode area, V parameter are investigated. The suggested structure is very effective for compensating of chromatic dispersion about −951 to −3075.10 ps/(nm.km) over 1340–1640 nm wavelength bandwidth. With perfectly matched layer boundary condition, guiding properties are inspected applying finite element method (FEM). The investigated results conform the opportunity of large negative dispersion and high group velocity dispersion (GVD) of −2367.10 ps/(nm.km) and 3018.55 ps2/km respectively, at 1550 nm operating wavelength. The offered fiber also shows low third order dispersion about −637.88 ps3/km, high nonlinearity of 91.11 W−1 km−1. From overall simulation results, it can be expected that the suggested PCF will be an effective candidate in high bit rate long haul optical communication system as well as sensing applications.


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