On the Nonlinear Excitations in One-Dimensional Uniaxial Anisotropic Heisenberg Ferromagnetic Spin Chain in External Magnetic Fields

  • M. Lakshmanan
  • M. Daniel
  • K. Nakamura
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 30)


The dynamics of the Heisenberg ferromagnetic spin chain is of fundamental importance in soliton theory, as it is a typical model system which is completely integrable under suitable circumstances and is endowed with interesting geometrical aspects [1,2]. In particular, the one-dimensional continuum limit of the classical Heisenberg ferromagnet with uniaxial anisotropy is a completely integrable solitonic system and is gauge equivalent to the nonlinear Schrödinger equation (or generalizations) [3,4]. In this article, we consider the influence of external magnetic fields on the dynamics of the spin chain.


External Magnetic Field Gauge Transformation Spin Chain Easy Axis Transverse Field 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • M. Lakshmanan
    • 1
    • 2
  • M. Daniel
    • 1
  • K. Nakamura
    • 3
  1. 1.Department of PhysicsBharathidasan UniversityTiruchirapalliIndia
  2. 2.Department of PhysicsKyoto UniversityKyoto 606Japan
  3. 3.Fukuoka Institute of TechnologyHigashi-ku, FukuokaJapan

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