scholarly journals Soliton solutions to resonant nonlinear schrodinger's equation with time-dependent coefficients by modified simple equation method

Optik ◽  
2016 ◽  
Vol 127 (23) ◽  
pp. 11450-11459 ◽  
Author(s):  
Ahmed H. Arnous ◽  
Mohammad Mirzazadeh ◽  
Qin Zhou ◽  
Seithuti P. Moshokoa ◽  
Anjan Biswas ◽  
...  
Keyword(s):  
Soliton Solutions ◽  
Time Dependent ◽  
Simple Equation ◽  
Equation Method ◽  
Schrödinger’S Equation ◽  
Modified Simple Equation Method ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

Chiral solitons of the (1 + 2)-dimensional nonlinear Schrodinger’s equation

2019 ◽  
Vol 33 (32) ◽  
pp. 1950401 ◽  
Author(s):  
Ahmad Javid ◽  
Nauman Raza
Keyword(s):  
Soliton Solutions ◽  
Expansion Method ◽  
Simple Equation ◽  
Schrödinger’S Equation ◽  
Modified Simple Equation Method ◽  
Singular Soliton ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Chiral Solitons ◽  
Nonlinear Schrödinger’S Equation

In this work, dark and singular soliton solutions of the (1[Formula: see text]+[Formula: see text]2)-dimensional chiral nonlinear Schrödinger’s equation are obtained and analyzed dynamically along with graphical depictions. The extraction of these chiral solitons is carried out using two integration tools such as the modified simple equation method and the [Formula: see text]-expansion method. The validity conditions for the existence of these solitons are also retrieved. It is highlighted that the solitons retrieved here are of chiral nature.

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.

Optical dark and singular solitons of generalized nonlinear Schrödinger’s equation with anti-cubic law of nonlinearity

2019 ◽  
Vol 33 (13) ◽  
pp. 1950158 ◽  
Author(s):  
Nauman Raza ◽  
Asad Zubair
Keyword(s):  
Optical Fibers ◽  
Soliton Solutions ◽  
Algebraic Method ◽  
Rational Solutions ◽  
Schrödinger’S Equation ◽  
Light Pulses ◽  
Propagation Of Light ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

This work is devoted to scrutinize new optical soliton solutions to the spatially temporal [Formula: see text]-dimensional nonlinear Schrödinger’s equation (NLSE) with anti-cubic nonlinearity. Two different versatile integration architectures are used to extract these solitons. Extended direct algebraic method (EDAM) is utilized to pluck out optical, dark and singular soliton solutions, whereas generalized Kudryashov method (GKM) provides rational solutions. The fetched results are new and useful for the propagation of light pulses in optical fibers in [Formula: see text]-dimensions. For the existence of these solitons, constraint conditions are also listed.

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