Solitons pp 321-327 | Cite as

Solitary Waves of the “2-Dimensional Ferromagnet”

  • R. Rajaraman
Conference paper
Part of the Springer Series in Nonlinear Dynamics book series (SSNONLINEAR)


Finite energy solitary wave solutions obtained by Polyakov and Belavin for the isotropic 2-dimensional ferromagnet are briefly reviewed. The ideas of Bogomolnyi connecting the winding number and potential energy of the system play an important role in the discussion.


Solitary Wave Stereographic Projection Solitary Wave Solution Nonlinear SChrodinger Equation Bogomolnyi Equation 
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  1. [1]
    A. A. Belavin and A. M. Polyakov, JETP Letters, 22 (1975) 245.ADSGoogle Scholar
  2. [2]
    E. B. Bogomolnyi, Soviet J. of Nuc. Phys. 24 (1976) 449.MathSciNetGoogle Scholar
  3. [3]
    R. Rajaraman, Solitons and Instantons (Amsterdam: North-Holland Co., 1982).MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • R. Rajaraman
    • 1
  1. 1.Centre for Theoretical StudiesIndian Institute of ScienceBangaloreIndia

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