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Invariant solutions and conservation laws of time-dependent negative-order (vnCBS) equation | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 2 - شماره پیاپی 27، آبان 2024، صفحه 155-168 اصل مقاله (469.51 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2023.21955.1483 | ||
| نویسندگان | ||
| Yadollah AryaNejad* ؛ Asma Khalili | ||
| Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, I.R. of Iran | ||
| چکیده | ||
| We apply the basic Lie symmetry method to investigate the time-dependent negative-order Calogero-Bogoyavlenskii-Schiff (vnCBS) equation. In this case, the symmetry classification problem is answered. We obtain symmetry algebra and create the optimal system of Lie subalgebras. We obtain the symmetry reductions and invariant solutions of the considered equation using these vector fields. Finally, we determine the conservation laws of the vnCBS equation via the Bluman-Anco homotopy formula. | ||
| کلیدواژه‌ها | ||
| Lie algebras؛ Calogero-Bogoyavlenskii-Schiff equation؛ reduction equations؛ conservation laws؛ optimal system | ||
| مراجع | ||
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