文献类型：期刊文献

英文题名：Darboux Transformation and Exact Solutions of the Continuous Heisenberg Spin Chain Equation

作者：Chen, Ai-Hua[1];Wang, Fan-Fan[2]

机构：[1]Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China;[2]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2014

卷号：69

期号：1-2

起止页码：9

外文期刊名：ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000334264300002)】；

基金：We are most grateful to the anonymous referee for pointing out much relevant literature and crucial help in improving the original manuscript. The work described in this paper was supported by the Fundamental Research Funds for the Central Universities.

语种：英文

外文关键词：Darboux Transformation; Heisenberg Spin Chain; Breather Solution; Rational Solution

摘要：In this paper, we give the N-fold Darboux transformation (DT) for the continuous Heisenberg spin chain which describes the motion of the isotropic ferromagnets in the complex case. By using this DT, we get N-soliton solutions and a new exact solution of the spin chain from a trivial seed solution and a plane wave seed solution, respectively.