scholarly journals On the modulation instability analysis and deeper properties of the cubic nonlinear Schrödinger’s equation with repulsive δ-potential

2021 ◽  
pp. 104303
Author(s):  
Yi-Xia Li ◽  
Ercan Celik ◽  
Juan L.G. Guirao ◽  
Tareq Saeed ◽  
Haci Mehmet Baskonus
Keyword(s):  
Modulation Instability ◽  
Instability Analysis ◽  
Schrödinger’S Equation ◽  
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.

A COMPARISON OF ADOMIAN’S METHOD AND SBA METHOD ON THE NONLINEAR SCHRÖDINGER’S EQUATION

2017 ◽  
Vol 29 (4) ◽  
pp. 149-161
Author(s):  
Gérard Zongo ◽  
Ousséni So ◽  
Geneviève Barro ◽  
Youssouf Paré ◽  
Blaise Somé
Keyword(s):  
Schrödinger’S Equation ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation
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