scholarly journals Bright and dark solitons in optical fibers with parabolic law nonlinearity

2013 ◽  
Vol 10 (3) ◽  
pp. 365-370 ◽  
Author(s):  
Daniela Milovic ◽  
Anjan Biswas

This paper utilizes the ansatz method to obtain bright and dark 1-soliton solution to the nonlinear Schrodinger?s equation with parabolic law nonlinearity in birefringent fibers. There are a few Hamiltonian type perturbation terms taken into account. The exact soliton solution comes with baggages that are referred to as constraint conditions that must hold in order for these solitons to exist.

2017 ◽  
Vol 31 (33) ◽  
pp. 1750305 ◽  
Author(s):  
Hai-Qiang Zhang ◽  
Yue Wang

In this paper, we construct the binary Darboux transformation on the coupled higher-order dispersive nonlinear Schrödinger equations in optical fibers. We present the N-fold iterative transformation in terms of the determinants. By the limit technique, we derive the N-dark–dark soliton solutions from the non-vanishing background. Based on the obtained solutions, we find that the collision mechanisms of dark vector solitons exhibit the standard elastic collisions in both two components.


2016 ◽  
Vol 13 (7) ◽  
pp. 4656-4659 ◽  
Author(s):  
Michelle Savescu ◽  
Sadah A Alkhateeb ◽  
M. A Banaja ◽  
A. A Alshaery ◽  
E. M Hilal ◽  
...  

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