ANZIAM J.
44 (2002), 61-72
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Symmetry analysis of and first integrals for the continuum Heisenberg spin chain
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M. C. Nucci
Dipartimento di Matematica e Informatica
Universita di Perugia
06123 Perugia
Italy
nucci@unipg.it
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P. G. L. Leach
GEODYSYC
Department of Mathematics
University of the Aegean
Karlovassi 83 200
Greece.
Permanent address:
School of Mathematical and Statistical Sciences
University of Natal
Durban 4041
Republic of South Africa
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Abstract
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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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