Periodic weak solutions for a classical one-dimensional isotropic biquadratic Heisenberg spin chain

被引：14

作者：

Guo, Boling

Zeng, Ming

Su, Fengqiu

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

[2] Inst Appl Phys & Computat Math, Ctr Nonlinear Studies, Beijing 100088, Peoples R China

[3] Ctr Univ Nationality, Dept Math & Comp Sci, Beijing 100081, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 330卷 / 01期

关键词：

isotropic biquadratic Heisenberg spin chain; weak solutions; viscosity vanishing method;

D O I：

10.1016/j.jmaa.2006.08.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the model proposed by Lakshmanan, Porsezian and Daniel [M. Lakshmanan, K. Porsezian, M. Daniel, Effect of discreteness on the continuum limit of the Heisenberg spin chain, Phys. Lett. A 133 (1988) 483-488] describing the continuum isotropic biquadratic Heisenberg spin chain in one dimensional case. Following the results of integrability in [K. Porsezian, M. Daniel, M. Lakshmanan, On the integrability aspects of the one-dimensional classical continuum isotropic Heisenberg spin chain, J. Math. Phys. 33 (5) (1992) 1807-1816], we prove the existence of periodic weak solutions to this model. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：729 / 739

页数：11

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