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Approximate Symmetry Group Analysis and Similarity Reductions of the Perturbed mKdV-KS Equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 12 فروردین 1401 اصل مقاله (186.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2022.48341.2022 | ||
| نویسندگان | ||
Mehdi Jafari  ؛ Razie Darvazebanzade
| ||
| Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran. | ||
| چکیده | ||
| In this paper, we apply approximate symmetry transformation group to obtain the approximate symmetry group of perturbed mKdV-KS equation which is modified Korteweg-de Vries (mKdV) equation with a higher singularity perturbed term as the Kuramoto-Sivashinsky (KS) equation. Also, an optimal system of one-dimensional subalgebras of symmetry algebra is constructed and the corresponding differential invariants and some approximately invariant solutions of the equation are computed. | ||
| کلیدواژه‌ها | ||
| Perturbed mKdV-KS equation؛ Approximate symmetry؛ Approximately invariant solution؛ Optimal system | ||
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آمار تعداد مشاهده مقاله: 12 تعداد دریافت فایل اصل مقاله: 21 |
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