AN INVERSE SCATTERING TRANSFORM FOR THE LANDAU-LIFSCHITZ EQUATION FOR A SPIN CHAIN WITH AN EASY-AXIS

被引：17

作者：

CHEN, ZY ^{[1
]}

HUANG, NN ^{[1
]}

LIU, ZZ ^{[1
]}

机构：

[1] WUHAN UNIV,DEPT PHYS,WUHAN 430072,PEOPLES R CHINA

来源：

JOURNAL OF PHYSICS-CONDENSED MATTER | 1995年 / 7卷 / 23期

关键词：

D O I：

10.1088/0953-8984/7/23/022

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

An inverse scattering transform is developed to solve the Landau-Lifschitz equation for a spin chain with an easy axis. Instead of introducing the Riemann surface, which is required for double-valued functions of the usual spectral parameter lambda, the transform is developed by making use of an auxiliary parameter zeta. The Marchenko equation, soliton solutions and asymptotic behaviours are derived. The results reduce naturally to those for the isotropic chain when the anisotropy vanishes.

引用

页码：4533 / 4547

页数：15

共 16 条

[1]

BOGDAN MM, 1980, JETP LETT, V31, P453

[2]

BOLOVIK AE, 1978, JETP LETT, V28, P629

[3]

BOLOVIK AE, 1984, JETP LETT, V39, P230

[4] SOLITONS AND MAGNONS IN THE CLASSICAL HEISENBERG CHAIN [J].

FOGEDBY, HC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (04) :1467-1499

[5]

Haar D. te, 1965, PHYS Z SOWJETUNION, P178, DOI [10.1016/B978-0-08-010523-9.50018-3, DOI 10.1016/B978-0-08-036364-6.50008-9]

[6]

INVANOV BA, 1979, JETP LETT, V29, P777

[7] CONTINUUM SPIN SYSTEM AS AN EXACTLY SOLVABLE DYNAMICAL SYSTEM [J].

LAKSHMANAN, M .

PHYSICS LETTERS A, 1977, 61 (01) :53-54

[8]

MICHAILOV AV, 1982, PHYS LETT A, V92, P51

[9]

MICHAILOV AV, 1980, JETP LETT, V32, P187

[10] THE RIEMANN BOUNDARY-PROBLEM ON RIEMANN SURFACES AND THE INVERSE SCATTERING PROBLEM FOR THE LANDAU-LIFSCHITZ EQUATION [J].

RODIN, YL .

PHYSICA D-NONLINEAR PHENOMENA, 1984, 11 (1-2) :90-108

← 1 2 →