Fractional optical solitons for the conformable space–time nonlinear Schrödinger equation with Kerr law nonlinearity

2018 ◽  
Vol 50 (3) ◽  
Author(s):  
Mustafa Inc ◽  
Abdullahi Yusuf ◽  
Aliyu Isa Aliyu ◽  
Dumitru Baleanu
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Optical Solitons ◽  
Space Time ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Kerr Law ◽  
Kerr Law Nonlinearity

scholarly journals Non topological 1-soliton solution to resonant nonlinear schrodinger equation with kerr law nonlinearity

2017 ◽  
Vol 5 (1) ◽  
pp. 17
Author(s):  
Salam Subhaschandra Singh
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Soliton Solution ◽  
Schrodinger Equation ◽  
Evolution Equations ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Evolution Equations ◽  
Nonlinear Schrödinger ◽  
Kerr Law ◽  
Kerr Law Nonlinearity

In this paper, using the methods of ansatz, sine-cosine and He’s semi-inverse variation, non-topological 1-soliton solution to Resonant Nonlinear Schrodinger Equation with Kerr law nonlinearity is obtained. The results show that these methods are very effective ones for finding exact solutions to various types of nonlinear evolution equations appearing in the studies of science and engineering.

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