|
Z. Naturforsch. 69a, 9 – 16
(2014)
doi:10.5560/ZNA.2013-0067
Darboux Transformation and Exact Solutions of the Continuous Heisenberg Spin Chain Equation
1 College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, People's Republic of China
2 Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, People's Republic of China
Received March 11, 2013 / revised September 10, 2013 / published online October 30, 2013
Reprint requests to: F.-F. W.; E-mail:
ffwang@ecust.edu.cn
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.
Key words: Darboux Transformation; Heisenberg Spin Chain; Breather Solution; Rational Solution.
PACS numbers: 02.30.Ik; 02.30.Jr