Vector–soliton bound states for the coupled mixed derivative nonlinear Schrödinger equations in optical fibers

Wave Motion ◽  
2013 ◽  
Vol 50 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Min Li ◽  
Jing-Hua Xiao ◽  
Bo Qin ◽  
Ming Wang ◽  
Bo Tian
Keyword(s):  
Optical Fibers ◽  
Bound States ◽  
Nonlinear Schrödinger Equations ◽  
Mixed Derivative ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations ◽  
Vector Soliton

Breathers and double-pole solutions of coupled mixed derivative nonlinear Schrödinger equations from optical fibers

2021 ◽  
pp. 2150373
Author(s):  
Chen Hang ◽  
Qing-Lin Wu ◽  
Hai-Qiang Zhang
Keyword(s):  
Optical Fibers ◽  
Dark Soliton ◽  
Nonlinear Schrödinger Equations ◽  
Mixed Derivative ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Double Pole ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations ◽  
Wave Numbers

In this paper, the coupled mixed derivative nonlinear Schrödinger equations are investigated, which govern the propagation of the femtosecond optical pulse in optical fibers. First of all, based on the soliton solutions in bilinear form, the breathers are constructed by choosing a pair of complex conjugate wave numbers. Then, the interactions between a breather and either an anti-dark soliton or a dark soliton are studied according to the existence conditions of dark and anti-dark solitons. The double-pole solution can also be obtained by a coalescence of two wave numbers. In addition, the influence of physical parameters on the phases and propagation direction of the breathers and double-pole solitons is studied by the qualitative analysis and graphical illustration.

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