Exact gray multi-soliton solutions for nonlinear Schrödinger equation with variable coefficients

2005 ◽  
Vol 253 (1-3) ◽  
pp. 177-185 ◽  
Author(s):  
Rongcao Yang ◽  
Ruiyu Hao ◽  
Lu Li ◽  
Xiaojuan Shi ◽  
Zhonghao Li ◽  
...  
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Variable Coefficients ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger

scholarly journals New Optical Soliton Solutions For The Variable Coefficients Nonlinear Schrodinger Equation

2021 ◽  
Author(s):  
Yongyi Gu ◽  
Najva Aminakbari
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Dark Soliton ◽  
Variable Coefficients ◽  
Nonlinear Schrodinger Equation ◽  
Optical Soliton ◽  
Nonlinear Schrödinger

Abstract This paper is appropriated to seek new optical soliton solutions of nonlinear Schrodinger equation (NLSE) with time-dependent coefficients which describes the dispersion decreasing fiber. By proposing Bernoulli (G ′/G)-expansion method, where G = G(ζ ) satisfies Bernoulli equation, some periodic wave, bright and dark soliton solutions are successfully achieved. In addition, 3D, line and contour maps graphs of the obtained results under effect of different values of coefficients are illustrated to have acceptable conception of dynamic structures.

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