High-order soliton solution of landau-lifshitz equation

Dongfen Bian, Boling Guo, Liming Ling*

*此作品的通讯作者

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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
134
2
DOI
出版状态已出版 - 1 2月 2015

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Bian, D., Guo, B., & Ling, L. (2015). High-order soliton solution of landau-lifshitz equation. Studies in Applied Mathematics, 134(2), 181-214. https://doi.org/10.1111/sapm.12051