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New solitary wave solutions for generalized non-linear (3+1)-dimensional wave equation with gas bubbles in fluids using extended F-expansion method under the influence of conformable fractional derivative | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 09 آبان 1404 اصل مقاله (6.31 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.61174.2627 | ||
| نویسندگان | ||
| Abeer S. Khalifa1؛ Niveen M. Badra2؛ Hamdy M. Ahmed3؛ Wafaa B. Rabie4؛ Mostafa Eslami* 5؛ Mohammad Mirzazadeh6 | ||
| 1Department of Mathematics, Faculty of Engineering, German International University (GIU), New Administrative Capital, Cairo, Egypt. | ||
| 2Department of Physics and Engineering Mathematics, Faculty of Engineering, Ain Shams University Abbassia, Cairo, Egypt. | ||
| 3Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy, Cairo, Egypt. | ||
| 4Department of Mathematics, Faculty of Science, Luxor University, Taiba, Luxor, Egypt. | ||
| 5Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. | ||
| 6Department of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, Rudsar-Vajargah, P.C. 44891-63157, Iran. | ||
| چکیده | ||
| A lot of people employ nonlinear evolution equations to figure out the fundamentals of natural phenomena. The study of nonlinear equations in depth is a component of the non-linear sciences, which also include fluid dynamics, ocean physics, plasma physics, and applications in the field of marine engineering. Using the extended F-expansion approach, this paper investigates the generalized non-linear (3+1)-dimensional wave equation under the effect of conformable fractional derivative (CFD) and finds numerous exact time-fractional wave solutions as well as the fluctuating dynamics of various wave profiles. This work explains other non-linear phenomena in liquids, such as gas bubbles. Unique soliton waves exhibit dynamical behavior involving several soliton solutions, including singular, bright, and dark. Additionally, periodic and singular periodic wave profiles are acquired. We could not find any previous publications of these found solutions. Using two- and three-dimensional graphics and associated contour plots, the dynamical wave structures of some analytical solutions can be graphically represented by assigning appropriate values to free parameters. Furthermore, this method can be used to find soliton solutions of other well-known equations in fluid dynamics, engineering physics, and other nonlinear fields. | ||
| کلیدواژهها | ||
| Nonlinear (3+1)-dimensional wave equation؛ Gas bubbles in fluid؛ Conformable fractional derivative؛ Extended F-expansion method؛ Soliton solutions | ||
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آمار تعداد مشاهده مقاله: 49 تعداد دریافت فایل اصل مقاله: 86 |
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