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- Title
Time-fractional Chen–Lee–Liu equation: Various optical solutions arising in optical fiber.
- Authors
Murad, Muhammad Amin Sadiq; Hamasalh, Faraidun Kadir; Ismael, Hajar Farhan
- Abstract
In this paper, the extended simplest equation method is utilized to construct the novel exact optical solitons solutions of the perturbed time fractional Chen–Lee–Liu equation with conformable fractional derivative. The acquired optical solitons and other solutions are expressed via the rational functions, the trigonometric functions, and the hyperbolic functions; in addition to guaranteeing the existence of the acquired results, the constrain conditions are provided. Furthermore, to elucidate the magnitude of the proposed equation, various obtained solutions are plotted via two-dimensional (2D) and three-dimensional (3D) graphs using appropriate values of parameters. It is observed that the present technique is a powerful tool and efficient for finding the analytical solution for nonlinear differential equations of integer and fractional orders.
- Subjects
OPTICAL fibers; OPTICAL solitons; NONLINEAR differential equations; HYPERBOLIC functions; TRIGONOMETRIC functions
- Publication
Journal of Nonlinear Optical Physics & Materials, 2024, Vol 33, Issue 6, p1
- ISSN
0218-8635
- Publication type
Article
- DOI
10.1142/S0218863523500613