Open AccessON THE EXACT PROOF OF THE METHOD OF INVERSE SCATTERING FOR SOLVING THE EQUATION OF A FERROMAGNETIC CHAIN AND ITS VERIFICATION
Author(s) -
Zhigang Shuai,
Zongyun Chen,
Nian-Ning Huang
Publication year - 1987
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.36.377
Subject(s) - ferromagnetism , chain (unit) , inverse , point (geometry) , scattering , inverse problem , current (fluid) , inverse scattering problem , physics , quantum inverse scattering method , mathematical analysis , inverse scattering transform , mathematics , quantum mechanics , thermodynamics , geometry
In current deductions of the inverse scattering method for solving the equation of a ferromagnetic chain, the factor λ-1 brings about difficulties. In this note, we show that this factor should be dropped and an equivalent result to the Takhtajan's equation can be obtained, except for some expected corrections at point λ = 0. It is also verified that the solutions given by the ISM satisfy the equation of a ferromagnetic chain.