Optical solitonic structures with singular and non-singular kernel for nonlinear fractional model in quantum mechanics

The present study examines the nonlinear time-fractional model in the sense of a solitonic structure. A non-linear Schrödinger equation has applications in light scattering, indirect optical pulses as well as planer waves and to Bose-Einstein condensates enclosed in an anisotropic-shaped cigar, in a...

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Bibliographic Details
Published in:Optical and quantum electronics 2023-03, Vol.55 (3), Article 219
Main Authors: Asjad, Muhammad Imran, Inc, Mustafa, Faridi, Waqas Ali, Bakar, Muhammad Abu, Muhammad, Taseer, Rezazadeh, Hadi
Format: Article
Language:English
Subjects:
Bose-Einstein condensates
Characterization and Evaluation of Materials
Computer Communication Networks
Electrical Engineering
Exponential functions
Kernels
Lasers
Nonlinear differential equations
Operators (mathematics)
Optical Devices
Optical pulses
Optics
Partial differential equations
Photonics
Physics
Physics and Astronomy
Quantum mechanics
Schrodinger equation
Solitary waves
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Summary:The present study examines the nonlinear time-fractional model in the sense of a solitonic structure. A non-linear Schrödinger equation has applications in light scattering, indirect optical pulses as well as planer waves and to Bose-Einstein condensates enclosed in an anisotropic-shaped cigar, in a mean-field state, etc. A new extended direct algebraic method is utilized to get the soliton solutions with modified M-truncated and Atangana–Baleanu fractional operators which have Mittag-Leffler kernel. The obtained solutions contain new families of functions such as trigonometric, hyperbolic, rational, and exponential functions. The graphical 2D, 3D, contour, and also 3D spherical presentation pictorial the analysis with the feasible parametric values. On the evidence of the acquired solutions, it can be presumed that this technique is more effective and generalized to obtain solutions of many other non-linear partial differential equations that appear in different scientific disciplines.
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-022-04488-9