Optical solitons, conservation laws and modulation instability analysis for the modified nonlinear Schrödinger’s equation for Davydov solitons

2017 ◽  
Vol 32 (7) ◽  
pp. 858-873 ◽  
Author(s):  
Mustafa Inc ◽  
Aliyu Isa Aliyu ◽  
Abdullahi Yusuf ◽  
Dumitru Baleanu
Keyword(s):  
Conservation Laws ◽  
Modulation Instability ◽  
Optical Solitons ◽  
Instability Analysis ◽  
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.

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
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