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Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter | ||
| Computational Methods for Differential Equations | ||
| مقاله 8، دوره 8، شماره 1، فروردین 2020، صفحه 111-118 اصل مقاله (273.43 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2019.9468 | ||
| نویسنده | ||
| Ramin Najafi* | ||
| Department of Mathematics, Maku Branch, Islamic Azad University, Maku, Iran | ||
| چکیده | ||
| In this paper, the Lie symmetry analysis is presented for the time-fractional KdV equation with the Riemann-Liouville derivative. We introduce a generalized approximate nonclassical method that is applied to differential equations with fractional order. In the sense of this symmetry, the vector fields of fractional KdV equation are obtained. The similarity reduction corresponding to the symmetries of the equation is constructed. | ||
| کلیدواژهها | ||
| Approximate Lie symmetry analysis؛ Time-fractional KdV equation؛ Group-invariant solution | ||
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آمار تعداد مشاهده مقاله: 526 تعداد دریافت فایل اصل مقاله: 378 |
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