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Three Types Generalized - Heisenberg Ferromagnet Models

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  • Yinfei Zhou
  • Shuchao Wan
  • Yang Bai
  • Zhaowen Yan

Abstract

By taking values in a commutative subalgebra , we construct a new generalized - Heisenberg ferromagnet model in (1+1)-dimensions. The corresponding geometrical equivalence between the generalized - Heisenberg ferromagnet model and - mixed derivative nonlinear Schrödinger equation has been investigated. The Lax pairs associated with the generalized systems have been derived. In addition, we construct the generalized - inhomogeneous Heisenberg ferromagnet model and - Ishimori equation in (2+1)-dimensions. We also discuss the integrable properties of the multi-component systems. Meanwhile, the generalized Z n -nonlinear Schrödinger equation, Z n -Davey–Stewartson equation and their Lax representation have been well studied.

Suggested Citation

  • Yinfei Zhou & Shuchao Wan & Yang Bai & Zhaowen Yan, 2020. "Three Types Generalized - Heisenberg Ferromagnet Models," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-7, January.
    • Handle: RePEc:hin:jnlamp:2076074
    DOI: 10.1155/2020/2076074
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