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Investigation of highly dispersive solitons for the concatenation model with power law nonlinearity using the improved modified extended tanh-function method | ||
| Computational Methods for Differential Equations | ||
| مقاله 19، دوره 13، شماره 4، دی 2025، صفحه 1357-1366 اصل مقاله (1.07 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.61272.2632 | ||
| نویسندگان | ||
| Eman Salah1؛ Islam Samir2؛ Emad M. Abo El-Dahab3؛ Hamdy M. Ahmed1؛ Medhat Ammar3؛ Mostafa Eslami* 4 | ||
| 1Department of Physics and Engineering Mathematics, Higher Institute of Engineering,El-Shorouk Academy, El-Shorouk, Cairo, Egypt. | ||
| 2Department of Mathematics and Engineering Physics, Faculty of Engineering, Aim Shams University, Cairo, Egypt. | ||
| 3Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt. | ||
| 4Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. | ||
| چکیده | ||
| This research examines the phenomenon of optical solitons in the framework of the dispersive concatenation model, which incorporates three established models: the Lakshmanan-Porsezian-Daniel equation (LPDE), the Hirota equation (HE), and the nonlinear Schr¨odinger equation (NLSE). This model describes the soliton transmission dynamics across transcontinental and transoceanic dynamics. The model provided is situated within the context of nonlinear optics, a branch of optics that deals with optical phenomena in materials where the response of the medium to light is nonlinear. The equation appears to be a generalized model that combines several well-known equations from nonlinear optics. These equations often emerge as simplified descriptions of specific nonlinear effects in various optical systems. They capture phenomena like self-focusing, self-phase modulation, and soliton propagation, among others. The improved modified extended tanh scheme (IMETS) is utilized to derive solitons and other solutions for the investigated model. Many types of solutions are extracted with the help of the IMETS. These solutions include dark, bright, and singular solitons, as well as Weierstrass elliptic and singular periodic solutions. The nature of the extracted solutions is illustrated by introducing both 2D and 3D graphical representations and setting the parameters with appropriate values. | ||
| کلیدواژهها | ||
| Bright solitons؛ Dark solitons؛ Exact solutions؛ Nonlinear partial differential equations | ||
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