Investigating the Dynamics of Intense Pulses Propagating in a Photon Crystal Optical Fiber with a Group Velocity Dispersion Gradient

2020 ◽  
Vol 84 (1) ◽  
pp. 10-14
Author(s):  
V. A. Khalyapin
2014 ◽  
Vol 22 (12) ◽  
pp. 14382 ◽  
Author(s):  
Yunhui Zhu ◽  
Joel A. Greenberg ◽  
Nor Ain Husein ◽  
Daniel J. Gauthier

2011 ◽  
Author(s):  
J. Ramos-Beltrán ◽  
G. Beltrán-Pérez ◽  
S. Muñoz-Aguirre ◽  
J. Castillo-Mixcóatl

2019 ◽  
Vol 33 (01) ◽  
pp. 1850418 ◽  
Author(s):  
Ze Zhang ◽  
Bo Tian ◽  
Han-Peng Chai ◽  
Hui-Min Yin ◽  
Chen-Rong Zhang

In this paper, we study a Kundu–Eckhaus equation with variable coefficients, which describes the ultra-short optical pulses in an inhomogeneous optical fiber. We construct the Lax pair under certain variable-coefficient constraints. With the gauge transformation, one/N-fold binary Darboux transformations and limit forms of the one-fold binary Darboux transformation are obtained. Based on such transformations, one/N-dark (N = 2,3, [Formula: see text]) soliton solutions under those constraints are derived. Linear, periodic and parabolic dark solitons are presented, and numerical simulations are used to investigate the influence of the group velocity dispersion on the structures of the one-dark solitons. Based on the two-dark soliton solutions under certain variable-coefficient constraints, we also discuss the influence of the group velocity dispersion on the structures of the two-dark solitons. Head-on and overtaking collisions between the two linear, parabolic and cubic-type dark solitons are presented.


Sign in / Sign up

Export Citation Format

Share Document