摘要
The Landau-Lifshitz equation is analyzed via the inverse scattering method. First, we give the well-posedness theory for Landau-Lifshitz equation with the frame of inverse scattering method. The generalized Darboux transformation is rigorous considered in the frame of inverse scattering transformation. Finally, we give the high-order soliton solution formula of Landau-Lifshitz equation and vortex filament equation.
| 源语言 | 英语 |
|---|---|
| 页（从-至） | 181-214 |
| 页数 | 34 |
| 期刊 | Studies in Applied Mathematics |
| 卷 | 134 |
| 期 | 2 |
| DOI | |
| 出版状态 | 已出版 - 1 2月 2015 |