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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

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Volume 69, Issue 1-2


Darboux Transformation and Exact Solutions of the Continuous Heisenberg Spin Chain Equation

Ai-Hua Chen
  • College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, People’s Republic of China
  • Other articles by this author:
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/ Fan-Fan Wang
  • Corresponding author
  • Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, People’s Republic of China
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Published Online: 2014-06-02 | DOI: https://doi.org/10.5560/zna.2013-0067

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.

Keywords : Darboux Transformation; Heisenberg Spin Chain; Breather Solution; Rational Solution. PACS numbers: 02.30.Ik; 02.30.Jr

About the article

Received: 2013-03-11

Revised: 2013-09-10

Published Online: 2014-06-02

Published in Print: 2014-02-01

Citation Information: Zeitschrift für Naturforschung A, Volume 69, Issue 1-2, Pages 9–16, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.5560/zna.2013-0067.

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