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Symmetry analysis and conservation laws for higher order CamassaHolm equation | ||
| Computational Methods for Differential Equations | ||
| مقاله 12، دوره 8، شماره 2، تیر 2020، صفحه 364-372 اصل مقاله (297.63 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.26920.1356 | ||
| نویسندگان | ||
| Vahid Shirvani* 1؛ Mehdi Nadjafikhah2 | ||
| 1Department of Mathematics, Eslamabad-E-Gharb Branch, Islamic Azad University, Eslamabad-E-Gharb, Iran. | ||
| 2Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, Iran. | ||
| چکیده | ||
| In this paper, Lie symmetry group method is applied to study for the higher order Camassa-Holm equation. Complete analysis of symmetries and nonclassical symmetries is discussed. Furthermore, optimal system, preliminary classification of its group invariant solutions and symmetry reduction are investigated. Finally conservation laws for the higher order Camassa-Holm equation which conserved quantities arise from multipliers by using homotopy operator are presented. | ||
| کلیدواژهها | ||
| Lie symmetry؛ Higher order Camassa-Holm equation؛ Optimal system؛ Similarity solutions؛ Conservation laws | ||
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آمار تعداد مشاهده مقاله: 914 تعداد دریافت فایل اصل مقاله: 617 |
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