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Cubic–quartic optical solitons with Fokas–Lenells equation by the improved Adomian decomposition method

Year: 2024
Type: article
Abstract: This article numerically examines the Fokas–Lenells equation with cubic-quartic dispersion, an integrable class member of complex-valued evolution equations that describes nonlinear pulse propagation in monomode optical media. Now, in solving the model, a new decomposition method, based on the original Adomian algorithm is adopted to construct the resulting recurrent scheme for the model. Moreover, to verify the exactness of the method, the study further seeks the help of the ansatz method to construct diverse exact solitary wave solutions for comparative analysis. At last, various error tables and comparison plots are reported, affirming the effectiveness of the adopted approach over existing methods in solving the cubic-quintic Fokas–Lenells equation, and by extension, the class of nonlinear complex-valued evolution equations.
DOI: 10.1007/s12596-024-02334-7
Authors: A. A. AlQarni, A. M. Bodaqah, A. A. Alshaery, H. O. Bakodah, Yakup Yildirim, Anjan Biswas
Institutions: University of Bisha, University of Jeddah, Biruni University, University of Kyrenia, Near East University, Grambling State University, Sefako Makgatho Health Sciences University, "Dunarea de Jos" University of Galati
Language: English
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W4405334122
FWCI: 1.065
Cites: 35
Cited by: 7
Related to: 10