Optical soliton solutions of the generalized higher-order nonlinear Schrödinger equations and their applications

2017 ◽  
Vol 50 (11) ◽  
Author(s):  
M. Arshad ◽  
Aly R. Seadawy ◽  
Dianchen Lu
Keyword(s):  
Soliton Solutions ◽  
Higher Order ◽  
Optical Soliton ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations

N-dark–dark solitons for the coupled higher-order nonlinear Schrödinger equations in optical fibers

2017 ◽  
Vol 31 (33) ◽  
pp. 1750305 ◽  
Author(s):  
Hai-Qiang Zhang ◽  
Yue Wang
Keyword(s):  
Optical Fibers ◽  
Soliton Solutions ◽  
Dark Soliton ◽  
Higher Order ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Dark Solitons ◽  
Nonlinear Schrodinger Equations

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.

scholarly journals Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov’s method

2021 ◽  
Vol 24 ◽  
pp. 104179
Author(s):  
Hadi Rezazadeh ◽  
Najib Ullah ◽  
Lanre Akinyemi ◽  
Abdullah Shah ◽  
Seyed Mehdi Mirhosseini-Alizamin ◽  
...  
Keyword(s):  
Soliton Solutions ◽  
Optical Soliton ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations
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