The authors present the derivation of a non-linear Schrodinger equation for the quantum isotropic Heisenberg chain using the coherent-states method combined with the Holstein-Primakoff bosons representation of the spin operator. The solution of this equation gives rise to solitary-waves excitations of the system that are similar to those discussed by Tjon and Wright (1977) for the classical Heisenberg chain. A discussion of their results as compared with others in the literature is made.
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Azevedo et al. (1982) studied this question.
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