On the Geometric Equivalence of the Discrete Integrable Modified Heisenberg Ferromagnet Model

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  • Yu Feng-Ling
    Department of Mathematics, Capital Normal University
  • Bi Yan-Hui
    Department of Mathematics, Capital Normal University
  • Zhai Ying
    Department of Mathematics, Capital Normal University
  • Zhao Wei-Zhong
    Department of Mathematics, Capital Normal University
  • Wu Ke
    Department of Mathematics, Capital Normal University KLMM, AMSS, Chinese Academia of Sciences

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Abstract

The motion of a discrete curve in Minkowski space is introduced, through which, the geometric equivalences between the discrete integrable modified Heisenberg ferromagnet (HF) models and integrable differential-difference equations are presented.

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