Optical solitons and optical rogons of generalized resonant dispersive nonlinear Schrödinger's equation with power law nonlinearity

Optik ◽  
2014 ◽  
Vol 125 (16) ◽  
pp. 4246-4256 ◽  
Author(s):  
M. Mirzazadeh ◽  
M. Eslami ◽  
B. Fathi Vajargah ◽  
Anjan Biswas
Keyword(s):  
Power Law ◽  
Optical Solitons ◽  
Schrödinger’S Equation ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

OPTICAL SOLITONS WITH DUAL-POWER LAW NONLINEARITY USING LIE SYMMETRIES

2010 ◽  
Vol 24 (17) ◽  
pp. 1833-1838 ◽  
Author(s):  
C. MASOOD KHALIQUE ◽  
ANJAN BISWAS
Keyword(s):  
Power Law ◽  
Soliton Solution ◽  
Optical Solitons ◽  
Lie Symmetry ◽  
Lie Symmetries ◽  
Schrödinger’S Equation ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation ◽  
Dual Power

This paper obtains the stationary optical 1-soliton solution of the nonlinear Schrödinger's equation with dual-power law nonlinearity. The technique of Lie symmetry is used to obtain the solution.

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 Solitons in Photonic Nano Waveguides with an Improved Nonlinear Schrödinger's Equation

2013 ◽  
Vol 10 (5) ◽  
pp. 1182-1191 ◽  
Author(s):  
Michelle Savescu ◽  
Kaisar R. Khan ◽  
Preeti Naruka ◽  
Hossein Jafari ◽  
Luminita Moraru ◽  
...  
Keyword(s):  
Optical Solitons ◽  
Schrödinger’S Equation ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

Optical solitons to the (n + 1)-dimensional nonlinear Schrödinger’s equation with Kerr law and power law nonlinearities using two integration schemes

2019 ◽  
Vol 33 (19) ◽  
pp. 1950224 ◽  
Author(s):  
Mustafa Inc ◽  
Aliyu Isa Aliyu ◽  
Abdullahi Yusuf ◽  
Mustafa Bayram ◽  
Dumitru Baleanu
Keyword(s):  
Soliton Solutions ◽  
Power Laws ◽  
Optical Solitons ◽  
Schrödinger’S Equation ◽  
Integration Schemes ◽  
Undetermined Coefficient ◽  
Integration Techniques ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

In this study, two integration techniques are employed to reach optical solitons to the [Formula: see text]-dimensional nonlinear Schrödinger’s equation [Formula: see text]-NLSE[Formula: see text] with Kerr and power laws nonlinearities. These are the undetermined coefficient and Bernoulli sub-ODE methods. We acquired bright, dark, and periodic singular soliton solutions. The necessary conditions for the existence of these solitons are presented.

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