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On σ-models with noncompact groups

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Abstract

Some comments have been made on σ-models associated with noncompact groups. A noncompact variant of the continuous classical Heisenberg spin chain is proposed and its equivalence with a nonlinear Schrödinger equation of a repulsive type is established. Some regular as well as singular soliton solutions are found for the proposed model.

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Kundu, A. On σ-models with noncompact groups. Lett Math Phys 6, 479–485 (1982). https://doi.org/10.1007/BF00405869

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Keywords

  • Soliton Solution
  • Heisenberg Spin Chain
  • Noncompact Group
  • Nonlinear Schr6dinger Equation
  • Miura Transformation