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Symmetry Solutions of the fifth-order non-linear equation with temporal and spatial dispersion terms | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 تیر 1404 اصل مقاله (1.16 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.64858.2952 | ||
| نویسندگان | ||
| Zehra Pinar Izgi1؛ Subhadarshan Sahoo* 2 | ||
| 1Tekirdag Namık Kemal University, Faculty of Arts and Science, Department of Mathematics, 59030 Merkez-Tekirdağ, Turkey. | ||
| 2Kalinga Institute of Industrial Technology, Deemed to be University, Bhubaneswar, Odisha 751024, India. | ||
| چکیده | ||
| The fifth-order non-linear partial differential equations (NPDEs) with temporal and spatial dispersion have been seen in the literature to model optical communication, fluid mechanics, condensed matter, electro-magnetic and the propagation of pulses in optical fibers. The considered model is not an easily solvable equation because of temporal and spatial dispersion. Our main aim is to obtain the explicit form of exact solutions via a combination of Lie group transformation and ansatz-based methods. Finally, the obtained results, which are novel solutions in explicit form, have been presented to imply the physical nature by means of three-dimensional plots with result discussion. | ||
| کلیدواژهها | ||
| fifth-order non-linear equation؛ exact solutions؛ Lie group transformation؛ ansatz-based methods؛ solitons | ||
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آمار تعداد مشاهده مقاله: 213 تعداد دریافت فایل اصل مقاله: 166 |
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