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Stability analysis, bifurcation analysis and exact solution of van der Waals form for the fluid granular matter | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 12 بهمن 1404 اصل مقاله (1.07 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.62567.2768 | ||
| نویسندگان | ||
| Temesgen Desta Leta1؛ Nafiseh Esfandian2؛ Jamilu Sabi’u3؛ Hadi Rezazadeh* 4 | ||
| 11. Reading College, Nanjing University of Information Science and Technology, 219 Ningliu, Nanjing 210044, P R China.\\ 2. Department of Mathematics, Dilla University, Dilla 419, Ethiopia. | ||
| 2Department of Electrical Engineering, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran. | ||
| 3Department of Mathematics, Northwest University, Kano, Nigeria. | ||
| 4Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran. | ||
| چکیده | ||
| This paper analyses one of the most popular models in nature and industry, the conventional type of van der Waals for granular fluids. The recognition of dynamic and static properties of such models is crucial in various areas of business, from engineering to pharmaceuticals and other physical phenomena, such as those explored in geophysics. The phase separation processis described in this model.This paper analyses one of the most popular models in nature and industry, the conventional type of van der Waals for granular fluids. The dynamic bifurcation methodis used to detect the existence of smooth and non-smooth dynamic bahaviours, and periodic, solitary, singular soliton, anti-kink, and kink wave profiles have been produced. As a result, the rich dynamic properties of the model help to utilize the extended direct algebra method to obtain exact wave solutions. Theachieved solutionswere compared with different approaches. As per the authors’ knowledge, no such work has yet been published in the literature. | ||
| کلیدواژهها | ||
| Van der Waals for fluid granular matter؛ New extended direct algebraic method؛ Exact solutions؛ Bifurcation | ||
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