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In this paper, we consider the model proposed by Lakshmanan, Porsezian and Daniel [M. Lakshmanan, K. Porsezian, M. Daniel, Effect of discreteness on the continuum limit of the Heisenberg spin chain, Phys. Lett. A 133 (1988) 483-488] describing the continuum isotropic biquadratic Heisenberg spin chain in one dimensional case. Following the results of integrability in [K. Porsezian, M. Daniel, M. Lakshmanan, On the integrability aspects of the one-dimensional classical continuum isotropic Heisenberg spin chain, J. Math. Phys. 33 (5) (1992) 1807-1816], we prove the existence of periodic weak solutions to this model. (c) 2006 Elsevier Inc. All rights reserved.
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN: 0022-247X
Year: 2007
Issue: 1
Volume: 330
Page: 729-739
1 . 3 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
JCR Journal Grade:1
Cited Count:
WoS CC Cited Count: 14
SCOPUS Cited Count: 14
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 2
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