期刊論文
| 學年 | 110 |
|---|---|
| 學期 | 1 |
| 出版（發表）日期 | 2022-01-16 |
| 作品名稱 | Periodic Cauchy problem of Heisenberg ferromagnet and its geometric framework |
| 作品名稱（其他語言） | |
| 著者 | Hsiao-Fan Liu |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Journal of Fixed Point Theory and Applications 24, 16 |
| 摘要 | We formulate algebraically solutions to the isotropic Heisen- berg ferromagnet, which is an integrable geometric curve flow. The derivation is based on correspondences between this Heisenberg ferromagnet and the nonlinear Schro ̈dinger equation. The existence of solutions to the Cauchy problems of the isotropic Heisenberg ferromagnet with periodic boundary conditions follows from the correspondence. We then obtain a geometric framework of algorithms to solve the periodic Cauchy problem numerically for the Heisenberg ferromagnet. Analytical and experimental results will be presented. |
| 關鍵字 | Heisenberg ferromagnet;vortex filament equation;nonlinear Schro ̈dinger equation;implicit spectral method |
| 語言 | en |
| ISSN | 1661-7746 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 是 |
| 國別 | CHE |
| 公開徵稿 | |
| 出版型式 | ,電子版,紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/122690 ) |