Generalized optical soliton solutions to the (3+1)-dimensional resonant nonlinear Schrödinger equation with Kerr and parabolic law nonlinearities

2019 ◽  
Vol 51 (6) ◽  
Author(s):  
Abdelilah Kamal H. Sedeeg ◽  
R. I. Nuruddeen ◽  
J. F. Gómez-Aguilar
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Optical Soliton ◽  
Nonlinear Schrödinger ◽  
Parabolic Law

scholarly journals Optical Soliton Solutions of the Cubic-Quartic Nonlinear Schrödinger and Resonant Nonlinear Schrödinger Equation with the Parabolic Law

2019 ◽  
Vol 10 (1) ◽  
pp. 219 ◽  
Author(s):  
Wei Gao ◽  
Hajar Farhan Ismael ◽  
Ahmad M. Husien ◽  
Hasan Bulut ◽  
Haci Mehmet Baskonus
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Nonlinear Schrodinger Equation ◽  
Optical Soliton ◽  
Physical Parameters ◽  
Nonlinear Schrödinger ◽  
Parabolic Law

In this paper, the cubic-quartic nonlinear Schrödinger and resonant nonlinear Schrödinger equation in parabolic law media are investigated to obtain the dark, singular, bright-singular combo and periodic soliton solutions. Two powerful methods, the m + G ′ G improved expansion method and the exp − φ ξ expansion method are utilized to construct some novel solutions of the governing equations. The obtained optical soliton solutions are presented graphically to clarify their physical parameters. Moreover, to verify the existence solutions, the constraint conditions are utilized.

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