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Symmetry analysis of and first integrals for the continuum Heisenberg spin chain

Published online by Cambridge University Press:  17 February 2009

M. C. Nucci  and
P. G. L. Leach
M. C. Nucci
Affiliation:
Dipartimento di Matematica e Informatica, Università di Perugia, 06123 Perugia, Italy; e-mail: [email protected].
P. G. L. Leach
Affiliation:
GEODYSYC, Department of Mathematics, University of the Aegean, Karlovassi 83 200, Greece.
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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 1 , July 2002 , pp. 61 - 72
Copyright
Copyright © Australian Mathematical Society 2002

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