Exact solutions of nonlinear Schrödinger’s equation by using generalized Kudryashov method

2015 ◽  
Author(s):  
Yusuf Pandir ◽  
Abdullah Sonmezoglu ◽  
Hasan Huseyin Duzgun ◽  
Nail Turhan
Keyword(s):  
Exact Solutions ◽  
Schrödinger’S Equation ◽  
Generalized Kudryashov Method ◽  
Kudryashov Method ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

New soliton solutions for resonant nonlinear Schrödinger’s equation having full nonlinearity

2020 ◽  
Vol 34 (06) ◽  
pp. 2050032 ◽  
Author(s):  
Khalid K. Ali ◽  
Hadi Rezazadeh ◽  
R. A. Talarposhti ◽  
Ahmet Bekir
Keyword(s):  
Power Law ◽  
Soliton Solutions ◽  
Schrödinger’S Equation ◽  
Modified Kudryashov Method ◽  
Cubic Law ◽  
Kudryashov Method ◽  
Full Nonlinearity ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

In this paper, we discuss deep visual solutions of resonant nonlinear Schrödinger’s equation having full nonlinearity via taking the modified Kudryashov method. There are four types of nonlinearity in this paper. They are quadratic-cubic law, anti-cubic law, cubic-quintic-septic law and triple-power law. By performing this algorithm, logarithmical and rational solitons are deduced.

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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