1-Soliton Solution of the Nonlinear Schrödinger’s Equation with Kerr Law Nonlinearity Using Lie Symmetry Analysis

2009 ◽  
Vol 48 (7) ◽  
pp. 1872-1876 ◽  
Author(s):  
C. Masood Khalique ◽  
Anjan Biswas
Keyword(s):  
Soliton Solution ◽  
Lie Symmetry ◽  
Symmetry Analysis ◽  
Lie Symmetry Analysis ◽  
Schrödinger’S Equation ◽  
Kerr Law ◽  
Kerr Law Nonlinearity ◽  
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.

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