New exact solutions for the nonlinear Schrödinger's equation with anti-cubic nonlinearity term via Lie group method

Optik ◽  
2021 ◽  
pp. 168205
Author(s):  
Mohamed Moustafa ◽  
Amr M. Amin ◽  
Ghaylen Laouini
Keyword(s):  
Exact Solutions ◽  
Lie Group ◽  
Group Method ◽  
Cubic Nonlinearity ◽  
Schrödinger’S Equation ◽  
Lie Group Method ◽  
New Exact Solutions ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

scholarly journals Exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity by using the first integral method

2011 ◽  
Vol 16 (3) ◽  
pp. 332-339 ◽  
Author(s):  
Hossein Moosaei ◽  
Mohammad Mirzazadeh ◽  
Ahmet Yildirim
Keyword(s):  
Exact Solutions ◽  
Integral Method ◽  
First Integral ◽  
First Integral Method ◽  
Schrödinger’S Equation ◽  
Kerr Law ◽  
Kerr Law Nonlinearity ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. In this paper, the first integral method is used to construct exact solutions of the perturbed nonlinear Schrodinger’s equation (NLSE) with Kerr law nonlinearity. It is shown that the proposed method is effective and general.

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