Landau-Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions

被引：17

作者：

Bikbaev, R. F. ^{[1
]}

Bobenko, A. I. ^{[2
]}

Its, A. R. ^{[3
]}

机构：

[1] Steklov Inst Math, St Petersburg Dept, St Petersburg, Russia

[2] Tech Univ Berlin, Inst Math, Berlin, Germany

[3] Indiana Univ Purdue Univ Indianapolis, Dept Math Sci, Indianapolis, IN USA

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2014年 / 178卷 / 02期

关键词：

multisoliton solution; ferromagnetism; finite-gap integration; theta function; ORDINARY DIFFERENTIAL-EQUATIONS; RIEMANN BOUNDARY-PROBLEM; SINE-GORDON EQUATION; RATIONAL COEFFICIENTS; NONLINEAR EQUATIONS; LIFSCHITZ EQUATION; SOLITON SOLUTIONS; THETA-FUNCTIONS; DEFORMATION; TORUS;

D O I：

10.1007/s11232-014-0135-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the inverse scattering method, we study the XXZ Landau-Lifshitz equation well-known in the theory of ferromagnetism. We construct all elementary soliton-type excitations and study their interaction. We also obtain finite-gap solutions (in terms of theta functions) and select the real solutions among them.

引用

页码：143 / 193

页数：51

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