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High‐Order Soliton Solution of Landau–Lifshitz Equation
Author(s) -
Bian Dongfen,
Guo Boling,
Ling Liming
Publication year - 2015
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12051
Subject(s) - landau–lifshitz–gilbert equation , inverse scattering transform , quantum inverse scattering method , inverse scattering problem , transformation (genetics) , scattering , soliton , inverse , mathematical physics , vortex , order (exchange) , mathematics , physics , mathematical analysis , quantum mechanics , nonlinear system , geometry , biochemistry , chemistry , magnetization , thermodynamics , finance , magnetic field , economics , gene
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.