Exploration of New Optical Solitons in Magneto-Optical Waveguide with Coupled System of Nonlinear Biswas–Milovic Equation via Kudryashov’s Law Using Extended F-Expansion Method

Optical soliton solutions in a magneto-optical waveguide and other exact solutions are investigated for the coupled system of the nonlinear Biswas–Milovic equation with Kudryashov’s law using the extended F-expansion method. Various types of solutions are extracted, such as dark soliton solutions, s...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-01, Vol.11 (2), p.300
Main Authors: Rabie, Wafaa B., Ahmed, Hamdy M., Hamdy, Walid
Format: Article
Language:English
Subjects:
Biswas–Milovic equation
Exact solutions
extended F-expansion method
Food science
magneto-optical waveguide
Mathematical analysis
Nonlinear optics
Optical fibers
Optical waveguides
Partial differential equations
Solitary waves
solitons
Wave equations
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Summary:Optical soliton solutions in a magneto-optical waveguide and other exact solutions are investigated for the coupled system of the nonlinear Biswas–Milovic equation with Kudryashov’s law using the extended F-expansion method. Various types of solutions are extracted, such as dark soliton solutions, singular soliton solutions, a dark–singular combo soliton, singular combo soliton solutions, Jacobi elliptic solutions, periodic solutions, combo periodic solutions, hyperbolic solutions, rational solutions, exponential solutions and Weierstrass solutions. The obtained different types of wave solutions help in obtaining nonlinear optical fibers in the future. Furthermore, some selected solutions are described graphically to demonstrate the physical nature of the obtained solutions. The results show that the current method gives effectual and direct mathematical tools for resolving the nonlinear problems in the field of nonlinear wave equations.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11020300