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Self-adjointness, conservation laws and invariant solutions of the Buckmaster equation | ||
| Computational Methods for Differential Equations | ||
| مقاله 6، دوره 8، شماره 1، فروردین 2020، صفحه 85-98 اصل مقاله (400.77 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2019.9463 | ||
| نویسندگان | ||
| Saeede Rashidi* ؛ Seyed Reza Hejazi | ||
| Faculty of mathematical sciences, Shahrood university of technology, Shahrood, Semnan, Iran. | ||
| چکیده | ||
| The present paper considers the group analysis of extended (1 + 1)-dimensional Buckmaster equation and its conservation laws. Symmetry operators of Buckmaster equation are found via Lie algorithm of differential equations. The method of non-linear self-adjointness is applied to the considered equation. The infinite set of conservation laws associated with the finite algebra of Lie point symmetries of the Buckmaster equation is computed. The corresponding conserved quantities are obtained from their respective densities. Furthermore, the similarity reductions corresponding to the symmetries of the equation are constructed. | ||
| کلیدواژهها | ||
| Buckmaster equation؛ Lie point symmetry؛ Direct method؛ Homotopy operator؛ Similarity Reductions | ||
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آمار تعداد مشاهده مقاله: 512 تعداد دریافت فایل اصل مقاله: 324 |
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