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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 ![]() | ||
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 | ||
آمار تعداد مشاهده مقاله: 12 تعداد دریافت فایل اصل مقاله: 21 |