Extraction of Optical Solitons for Conformable Perturbed Gerdjikov–Ivanov Equation via Two Integrating Techniques

The perturbed Gerdjikov–Ivanov equation has immersed applications and significance in photonic crystal fibers and fiber optics. Extracting soliton solutions of the proposed equation has always been a challenging task for researchers. In this article, soliton solutions of governing equation are forme...

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Bibliographic Details
Published in:Advances in mathematical physics 2024-10, Vol.2024 (1)
Main Authors: Vivas-Cortez, Miguel, Sadaf, Maasoomah, Arshed, Saima, Rehan, Kashif, Akram, Ghazala, Saeed, Komal
Format: Article
Language:English
Subjects:
Crystal fibers
Fiber optics
Methods
Optical fibers
Ordinary differential equations
Partial differential equations
Photonic crystals
Power
Riccati equation
Solitary waves
Variables
Velocity
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Summary:The perturbed Gerdjikov–Ivanov equation has immersed applications and significance in photonic crystal fibers and fiber optics. Extracting soliton solutions of the proposed equation has always been a challenging task for researchers. In this article, soliton solutions of governing equation are formed by using two very good and reliable analytical techniques, two variables ( G ′ / G , 1/ G ) expansion method and generalized projective Riccati equation method. These methods are well‐known and widely employed. The constraint conditions for newly constructed solutions are also specified. Furthermore, the obtained solutions can be utilized in nonlinear physical situations. Surface plots of the solution functions are also given in this paper to highlight the physical significance. Fractional effects are also discussed through various line graphs.
ISSN:1687-9120
1687-9139
DOI:10.1155/2024/5936389