ANZIAM  J.  44 (2002), 61-72
Symmetry analysis of and first integrals for the continuum Heisenberg spin chain

M. C. Nucci
  Dipartimento di Matematica e Informatica
  Universita di Perugia
  06123 Perugia
P. G. L. Leach
  Department of Mathematics
  University of the Aegean
  Karlovassi 83 200
Permanent address:
School of Mathematical and Statistical Sciences
  University of Natal
  Durban 4041
  Republic of South Africa

Daniel et al.  [6] analysed the singularity structure of the continuum limit of the one-dimensional anisotropic Heisenberg spin chain in a transverse field and determined the conditions under which the system is nonintegrable and exhibits chaos. We investigate the governing differential equations for symmetries and find the associated first integrals. Our results complement the results of Daniel et al.
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