On complex wave structures related to the nonlinear long–short wave interaction system: Analytical and numerical techniques
Source abstract
Abstract
This article presents a survey on the exact and numerical solutions of the nonlinear long–short wave interaction system. The system performs an optical domain, which does not alter during multiplication according to a ticklish equipoise between nonlinear and linear influences in elastic surrounding (the medium that can alter the figure due to the existence of a deforming strength and comes back to its original shape in the absence of this force). The wave in this medium is obtained by vibrations that are the outcomes of the acoustic power. The modified auxiliary equation and the quintic B-spline approaches are investigated in our model to obtain a bundle of solutions to discuss new physical behaviors for this model. Moreover, the stability property is discussed for the analytical solutions via the properties related to the Hamiltonian system to show the range of the ability of solutions to be used in the applications of the model. These novel properties are explained by different types of figures. Finally, the convergence and the absolute error between the obtained solutions are discussed in a table.
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Research context
OpenAlex topics: Nonlinear Photonic Systems · Nonlinear Waves and Solitons · Advanced Fiber Laser Technologies
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, Faculty of Science, Jiangsu University 1 , Zhenjiang, China
Mathematics Department, College of Science, Majmaah University 2 , Riyadh 11952, Saudi Arabia
Department of Mathematics, Faculty of Science, Cairo University 3 , Giza, Egypt
Department of Mathematics, Faculty of Applied Science, Umm Alqura University 4 , Makkah 21955, Saudi Arabia
Department of Basic Science, Higher Technological Institute 5 , 10th of Ramadan City, Egypt
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