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.

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.

Optical solitons for higher-order nonlinear Schrödinger’s equation with three exotic integration architectures

Optik ◽  
2019 ◽  
Vol 179 ◽  
pp. 861-866 ◽  
Author(s):  
Houwe Alphonse ◽  
Malwe Boudoue Hubert ◽  
Nestor Savaissou ◽  
Dikwa Jerome ◽  
Mibaile Justin ◽  
...  
Keyword(s):  
Optical Solitons ◽  
Higher Order ◽  
Schrödinger’S Equation ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation
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