Lie symmetries, conservation laws, optimal system and power series solutions of (3+1)-dimensional fractional Zakharov-Kuznetsov equation | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 29، دوره 16، شماره 3، خرداد 2025، صفحه 361-377 اصل مقاله (646.38 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.32813.4879 | ||
| نویسندگان | ||
| Jicheng Yu* 1؛ Yuqiang Feng2 | ||
| 1School of Science, Wuhan University of Science and Technology, Wuhan 430081, Hubei, China | ||
| 2Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan 430081, Hubei, China | ||
| چکیده | ||
| In this paper, the Lie symmetry analysis method is applied to the high dimensional fractional Zakharov-Kuznetsov equation. All Lie symmetries and the corresponding conserved vectors for the equation are obtained. The one-dimensional optimal system is utilized to reduce the aimed equation with Riemann-Liouville fractional derivative to a low-dimensional fractional partial differential equation with Erdelyi-Kober fractional derivative. Then the power series solution of the reduced equation is given. Moreover, some other low dimensional reduced fractional differential equations with Riemann-Liouville fractional derivatives are obtained and can be solved by different methods in the literatures herein. | ||
| کلیدواژهها | ||
| Lie symmetry analysis؛ fractional Zakharov-Kuznetsov equation؛ conservation laws؛ one-dimensional optimal system؛ power series solution | ||
| مراجع | ||
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