A new approach to exact soliton solutions and soliton interaction for the nonlinear Schrödinger equation with variable coefficients

2004 ◽  
Vol 236 (1-3) ◽  
pp. 79-86 ◽  
Author(s):  
Ruiyu Hao ◽  
Lu Li ◽  
Zhonghao Li ◽  
Wenrui Xue ◽  
Guosheng Zhou
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Variable Coefficients ◽  
Nonlinear Schrodinger Equation ◽  
Soliton Interaction ◽  
New Approach ◽  
Nonlinear Schrödinger ◽  
Exact Soliton Solutions

scholarly journals Optical singular and dark solitons to the nonlinear Schrodinger equation in magneto-optic waveguides with anti-cubic nonlinearity.

2021 ◽  
Author(s):  
Thilagarajah Mathanaranjan ◽  
Hadi Rezazadeh ◽  
Mehmet Senol ◽  
Lanre Akinyemi
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Modified Simple Equation Method ◽  
Exact Soliton Solutions ◽  
Magneto Optic

Abstract The present paper aims to investigate the coupled nonlinear Schrodinger equation (NLSE) in magneto-optic waveguides having anti-cubic (AC) law nonlinearity. The solitons secured to magneto-optic waveguides with AC law nonlinearity are extremely useful to fiber-optic transmission technology. Three constructive techniques, namely, the (G'/G)-expansion method, the modified simple equation method (MSEM), and the extended tanh-function method are utilized to find the exact soliton solutions of this model. Consequently, dark, singular and combined dark-singular soliton solutions are obtained. The behaviours of soliton solutions are presented by 3D and 2D plots.

Sign in / Sign up

Export Citation Format

Share Document