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Lie bifurcation theory of the full extended Korteweg-de Vries equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 فروردین 1405 اصل مقاله (1.03 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.66435.3099 | ||
| نویسنده | ||
| Mehdi Nadjafikhah* | ||
| Department of Pure Mathematics, School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran, 16846--13114, Iran. | ||
| چکیده | ||
| In this paper, the geometric method of symmetry is used to study the full extended Korteweg-de Vries equation: $u_t+6uu_x+u_{xxx}+a_1 u^2u_x+a_2 uu_{xxx}+a_3 u_xu_{xx}+a_4 u_{xxxxx}=0$. Based on the different states of the $a_i$~s parameters, the problem is divided into different branches. While carefully examining each of these cases, the geometric properties of the set of solutions are studied and specific solutions are obtained for different cases. | ||
| کلیدواژهها | ||
| Bifurcation؛ Lie Transformation؛ Invariant Solution؛ Group Classifications | ||
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آمار تعداد مشاهده مقاله: 28 تعداد دریافت فایل اصل مقاله: 37 |
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