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Author:

Guo, Boling (Guo, Boling.) | Zeng, Ming (Zeng, Ming.) | Su, Fengqiu (Su, Fengqiu.)

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

viscosity vanishing method weak solutions isotropic biquadratic Heisenberg spin chain

Author Community:

  • [ 1 ] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
  • [ 2 ] Inst Appl Phys & Computat Math, Ctr Nonlinear Studies, Beijing 100088, Peoples R China
  • [ 3 ] Ctr Univ Nationality, Dept Math & Comp Sci, Beijing 100081, Peoples R China

Reprint Author's Address:

  • [Zeng, Ming]Beijing Univ Technol, Coll Appl Sci, PingLe Yuan 100,Chaoyang Dist, Beijing 100022, Peoples R China

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Source :

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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