New exact solutions to the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity via modified trigonometric function series method

2011 ◽  
Vol 16 (8) ◽  
pp. 3097-3106 ◽  
Author(s):  
Zai-yun Zhang ◽  
Yun-xiang Li ◽  
Zhen-hai Liu ◽  
Xiu-jin Miao
Keyword(s):  
Exact Solutions ◽  
Trigonometric Function ◽  
Series Method ◽  
Function Series ◽  
New Exact Solutions ◽  
Kerr Law ◽  
Kerr Law Nonlinearity ◽  
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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