RETRACTED: Accurate demonstrating of the interactions of two long waves with different dispersion relations: Generalized Hirota–Satsuma couple KdV equation
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Source abstract
Abstract
In this study, the generalized formula of the Hirota–Satsuma coupled KdV equation derived by Hirota and Satsuma in 1981 [Hirota and Satsuma, Phys. Lett. A 85, 407−408 (1981)] is analytically and semi-analytically investigated. This model is formulated to describe the interaction of two long undulations with diverse dispersion relations; that is why it is also known with a generalized model of the well-known KdV equation. The generalized Kudryashov and Adomian decomposition methods construct novel soliton wave and semi-analytical solutions. These solutions are represented in some distinct graphs to show the waves’ interactions. In addition, the accuracy of solutions is verified by comparing the obtained analytical and semi-analytical solutions that show the matching between them. All solutions are checked by putting them back into the original model through Mathematica 12. This article is being retracted effective 21 June 2024.
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Research context
OpenAlex topics: Nonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Fiber Optic Sensors
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, Faculty of Science, Jiangsu University 1 , 212013 Zhenjiang,
Division of Biochemistry, Department of Pharmacology, College of Pharmacy, Taif University 2 , P.O. Box 11099, Taif 21944,
Department of Basic Science, Obour High Institute for Engineering and Technology 3 , 11828 Cairo,
Funding
Taif University
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