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

27 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

Access to Document

10.1111/sapm.12051

Cite this

@article{c1975d9c29d84ff08de6fe01b0584921,

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",

note = "Publisher Copyright: {\textcopyright} 2014 Wiley Periodicals, Inc., A Wiley Company.",

year = "2015",

month = feb,

day = "1",

doi = "10.1111/sapm.12051",

language = "English",

volume = "134",

pages = "181--214",

journal = "Studies in Applied Mathematics",

issn = "0022-2526",

publisher = "John Wiley & Sons Inc.",

number = "2",

}

TY - JOUR

T1 - High-order soliton solution of landau-lifshitz equation

AU - Bian, Dongfen

AU - Guo, Boling

AU - Ling, Liming

PY - 2015/2/1

Y1 - 2015/2/1

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 - http://www.scopus.com/inward/record.url?scp=84921566184&partnerID=8YFLogxK

U2 - 10.1111/sapm.12051

DO - 10.1111/sapm.12051

M3 - Article

AN - SCOPUS:84921566184

SN - 0022-2526

VL - 134

SP - 181

EP - 214

JO - Studies in Applied Mathematics

JF - Studies in Applied Mathematics

IS - 2

ER -

High-order soliton solution of landau-lifshitz equation

Abstract

Access to Document

Other files and links

Fingerprint

Cite this