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Mabrouk, Samah, Mahdy, Mahy, Rashed, Ahmed, Saleh, Rasha. (1403). Exploring high-frequency waves and soliton solutions of fluid turbulence through relaxation medium modeled by Vakhnenko-Parkes equation. سامانه مدیریت نشریات علمی, 13(2), 646-658. doi: 10.22034/cmde.2024.60655.2599
Samah Mabrouk; Mahy Mahdy; Ahmed Rashed; Rasha Saleh. "Exploring high-frequency waves and soliton solutions of fluid turbulence through relaxation medium modeled by Vakhnenko-Parkes equation". سامانه مدیریت نشریات علمی, 13, 2, 1403, 646-658. doi: 10.22034/cmde.2024.60655.2599
Mabrouk, Samah, Mahdy, Mahy, Rashed, Ahmed, Saleh, Rasha. (1403). 'Exploring high-frequency waves and soliton solutions of fluid turbulence through relaxation medium modeled by Vakhnenko-Parkes equation', سامانه مدیریت نشریات علمی, 13(2), pp. 646-658. doi: 10.22034/cmde.2024.60655.2599
Mabrouk, Samah, Mahdy, Mahy, Rashed, Ahmed, Saleh, Rasha. Exploring high-frequency waves and soliton solutions of fluid turbulence through relaxation medium modeled by Vakhnenko-Parkes equation. سامانه مدیریت نشریات علمی, 1403; 13(2): 646-658. doi: 10.22034/cmde.2024.60655.2599

Exploring high-frequency waves and soliton solutions of fluid turbulence through relaxation medium modeled by Vakhnenko-Parkes equation

Computational Methods for Differential Equations
مقاله 21، دوره 13، شماره 2، خرداد 2025، صفحه 646-658    اصل مقاله (607.79 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.60655.2599
نویسندگان
Samah Mabrouk1؛ Mahy Mahdy1؛ Ahmed Rashed* 2؛ Rasha Saleh1
1Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig University, Egypt.
21. Department of Physics and Engineering Mathematics Department, Faculty of Engineering, Zagazig University, Egypt.\\ 2. Basic Science Department, Faculty of Engineering, Delta University for Science and Technology, Gamasa, 11152, Egypt.
چکیده
One of the most important natural phenomena that has been studied extensively in engineering, oceanography,
meteorology, and other fields is called fluid turbulence (FT). FT stands for irregular flow of fluid. Scientists detected models to describe this phenomenon, among these models is the (3+1)-dimensional Vakhnenko-Parkes (VP) equation. In this research, the high-frequency waves’ dynamical behavior through the relaxation medium is explored by considering two semi-analytic methods, the $(G^'/G)$ and the tanh-coth (TC) expansion methods. Nineteen different solutions have been detected and some of these solutions have been illustrated graphically. Figures show a range of degenerate, periodic, and complex propagating soliton wave solutions. 
کلیدواژه‌ها
(G'/G)-expansion method؛ Tanh-coth method؛ Vakhnenko-Parkes equation؛ Fluid turbulence؛ Nonlinear partial differential equations
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