scholarly journals A New Application of the $${\bar{\partial }}$$-Method

2021 ◽  
Vol 28 (4) ◽  
pp. 492-506
Author(s):  
Shiyin Zhao ◽  
Yufeng Zhang ◽  
Xiangzhi Zhang
Keyword(s):  
Soliton Solutions ◽  
Nonlinear Schrödinger ◽  
Lie Bracket ◽  
Dirac Function ◽  
Formula Method

AbstractBy constructing a new calculating rule of Lie bracket, we construct a new nonlinear Schrödinger hierarchy and its reduction equations via using the $${\bar{\partial }}$$ ∂ ¯ -method. Furthermore, some soliton solutions of such the equation are obtained by making use of Dirac function.

scholarly journals Some optical soliton solutions to the perturbed nonlinear Schrödinger equation by modified Khater method

AIP Advances ◽  
2021 ◽  
Vol 11 (2) ◽  
pp. 025130
Author(s):  
Mostafa M. A. Khater ◽  
Sadia Anwar ◽  
Kalim U. Tariq ◽  
Mohamed S. Mohamed
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Optical Soliton ◽  
Nonlinear Schrödinger

Soliton solutions of Sasa–Satsuma nonlinear Schrödinger model and construction of modulation instability analysis

2021 ◽  
Vol 53 (2) ◽  
Author(s):  
Aly R. Seadawy ◽  
Naila Nasreen ◽  
Saad Althobaiti ◽  
Samy Sayed ◽  
Anjan Biswas
Keyword(s):  
Modulation Instability ◽  
Soliton Solutions ◽  
Instability Analysis ◽  
Nonlinear Schrödinger
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