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On Continuous Limits of Some Generalized Compressible Heisenberg Spin Chains

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Nonlinear Waves: Classical and Quantum Aspects

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 153))

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Abstract

We study the connection between some lattice and continuous Heisenberg spin models. The continuous limits of some generalized compressible Heisenberg spin chains are found. Using the methods of differential geometry of surfaces, the Lakshmanan equivalent counterpart of one of the obtained continuous Heisenberg ferromagnet equation is constructed.

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Author information

Authors and Affiliations

  1. Institute of Physics and Technology, 480082, Alma-Ata-82, Kazakhstan

    N. S. Serikbaev, Kur. Myrzakul, F. K. Rahimov & R. Myrzakulov

Authors
  1. N. S. Serikbaev
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  2. Kur. Myrzakul
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  3. F. K. Rahimov
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  4. R. Myrzakulov
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Editor information

Editors and Affiliations

  1. Physical-Technical Institute, Uzbek Academy of Sciences, Tashkent, Uzbekistan

    Fatkhulla Kh. Abdullaev

  2. Centro de Fisica Teórica e Computacional, Universidade de Lisboa, Portugal

    Vladimir V. Konotop

  3. Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Portugal

    Vladimir V. Konotop

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© 2004 Kluwer Academic Publishers

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Serikbaev, N.S., Myrzakul, K., Rahimov, F.K., Myrzakulov, R. (2004). On Continuous Limits of Some Generalized Compressible Heisenberg Spin Chains. In: Abdullaev, F.K., Konotop, V.V. (eds) Nonlinear Waves: Classical and Quantum Aspects. NATO Science Series II: Mathematics, Physics and Chemistry, vol 153. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2190-9_45

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