Symmetry reduction and one-dimensional optimal system of the Hunter-Saxton equation | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 17، شماره 2، اردیبهشت 2026، صفحه 7-14 اصل مقاله (366.04 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.34657.5184 | ||
| نویسندگان | ||
| Mehdi Jafari* ؛ Sajiyeh Safaeinejad | ||
| Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran | ||
| چکیده | ||
| This study introduces the Hunter-Saxton equation to describe one model for nematic liquid crystals. We investigate the symmetry group of the Hunter-Saxton equation by applying the classical Lie symmetry methods. Also, by utilizing the classification of one-dimensional subalgebras of the symmetry algebra for this equation, we compute the optimal system of one-parameter subalgebras. Then by using this optimal system and differential invariants, we reduce the equation and obtain the group-invariant solutions and conservation laws for the Hunter-Saxton equation. | ||
| کلیدواژهها | ||
| Hunter-Saxton equation؛ Optimal system؛ Group-invariant solutions؛ Conservation laws | ||
| مراجع | ||
|
| ||
|
آمار تعداد مشاهده مقاله: 1,019 تعداد دریافت فایل اصل مقاله: 651 |
||
| تعداد نشریات | 22 |
| تعداد شمارهها | 723 |
| تعداد مقالات | 10,394 |
| تعداد مشاهده مقاله | 72,856,700 |
| تعداد دریافت فایل اصل مقاله | 64,553,802 |