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Mabrouk, Samah, Mahdy, Mahy, Saleh, Rasha, Rashed, Ahmed. (1405). Dynamic insights into gaseous diffusion: analytical soliton and wave solutions via Chaffee-Infante equation in homogeneous media. سامانه مدیریت نشریات علمی, 14(1), 261-273. doi: 10.22034/cmde.2024.62543.2765
Samah Mabrouk; Mahy Mahdy; Rasha Saleh; Ahmed Rashed. "Dynamic insights into gaseous diffusion: analytical soliton and wave solutions via Chaffee-Infante equation in homogeneous media". سامانه مدیریت نشریات علمی, 14, 1, 1405, 261-273. doi: 10.22034/cmde.2024.62543.2765
Mabrouk, Samah, Mahdy, Mahy, Saleh, Rasha, Rashed, Ahmed. (1405). 'Dynamic insights into gaseous diffusion: analytical soliton and wave solutions via Chaffee-Infante equation in homogeneous media', سامانه مدیریت نشریات علمی, 14(1), pp. 261-273. doi: 10.22034/cmde.2024.62543.2765
Mabrouk, Samah, Mahdy, Mahy, Saleh, Rasha, Rashed, Ahmed. Dynamic insights into gaseous diffusion: analytical soliton and wave solutions via Chaffee-Infante equation in homogeneous media. سامانه مدیریت نشریات علمی, 1405; 14(1): 261-273. doi: 10.22034/cmde.2024.62543.2765

Dynamic insights into gaseous diffusion: analytical soliton and wave solutions via Chaffee-Infante equation in homogeneous media

Computational Methods for Differential Equations
مقاله 18، دوره 14، شماره 1، فروردین 2026، صفحه 261-273    اصل مقاله (664.18 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.62543.2765
نویسندگان
Samah Mabrouk1؛ Mahy Mahdy1؛ Rasha Saleh1؛ Ahmed Rashed* 2
1Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig University, Egypt.
21. Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig University, Egypt. 2. Basic Science department, Faculty of Engineering, Delta University for Science and Technology, 11152, Gamasa, Egypt.
چکیده
Gaseous diffusion (GD) has been used in various fields, including electromagnetic wave fields, high-energy physics, fluid dynamics, coastal engineering, ion-acoustic waves in plasma physics, and optical fibers. GD involves random molecular movement from areas of high partial pressure to areas of low partial pressure. Researchers have developed models to describe this phenomenon, among these models is the (2 + 1)-dimensional Chaffee–Infante (CI)-equation. This research explores analytical soliton and wave solutions of Gaseous diffusion through a homogeneous medium, considering two analytical methods, the Riccati equation and F-expansion methods. Thirty-seven different solutions have been identified and some of these solutions have been illustrated graphically. The figures show a range of bright, dark, singular, singular-periodic, and kink-type soliton wave solutions.
کلیدواژه‌ها
(2 + 1)-dimensional Chaffee–Infante؛ Gaseous diffusion (GD)؛ Riccati equation method؛ F-expansion method
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