High-order soliton solution of landau-lifshitz equation

Dongfen Bian; Boling Guo; Liming Ling

doi:10.1111/sapm.12051

High-order soliton solution of landau-lifshitz equation

Dongfen Bian
, Boling Guo
, Liming Ling^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	181-214
Number of pages	34
Journal	Studies in Applied Mathematics
Volume	134
Issue number	2
DOIs	https://doi.org/10.1111/sapm.12051
Publication status	Published - 1 Feb 2015

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10.1111/sapm.12051

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title = "High-order soliton solution of landau-lifshitz equation",

abstract = "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.",

author = "Dongfen Bian and Boling Guo and Liming Ling",

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AU - Guo, Boling

AU - Ling, Liming

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84921566184

U2 - 10.1111/sapm.12051

DO - 10.1111/sapm.12051

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VL - 134

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JO - Studies in Applied Mathematics

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High-order soliton solution of landau-lifshitz equation

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