Darboux-dressing transformation, semi-rational solutions, breathers and modulation instability for the cubic-quintic nonlinear Schrödinger system with variable coefficients in a non-Kerr medium, twin-core nonlinear optical fiber or waveguide

2020 ◽  
Author(s):  
Dan-Yu Yang ◽  
Bo Tian ◽  
Qi-Xing Qu ◽  
He Li ◽  
Xue-Hui Zhao ◽  
...  
Keyword(s):  
Optical Fiber ◽  
Nonlinear Optical ◽  
Modulation Instability ◽  
Variable Coefficients ◽  
Kerr Medium ◽  
Rational Solutions ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger System ◽  
Schrödinger System

scholarly journals Vector Solitons of a Coupled Schrödinger System with Variable Coefficients

2016 ◽  
Vol 2016 ◽  
pp. 1-19 ◽  
Author(s):  
Juan Carlos Muñoz Grajales
Keyword(s):  
Numerical Simulations ◽  
Finite Energy ◽  
Variable Coefficients ◽  
Soliton Equations ◽  
Nonlinear Schrödinger ◽  
Coupled Schrödinger System ◽  
Nonlinear Schrödinger System ◽  
Schrödinger System

We show the existence of waveforms of finite-energy (vector solitons) for a coupled nonlinear Schrödinger system with inhomogeneous coefficients. Furthermore, some of these solutions are approximated using a Newton-type iteration, combined with a collocation-spectral strategy to discretize the corresponding soliton equations. Some numerical simulations concerned with analysis of a collision of two oncoming vector solitons of the system are also performed.

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