Three Types Generalized Zn‐Heisenberg Ferromagnet Models

Yinfei Zhou, Shuchao Wan, Yang Bai and Zhaowen Yan

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: By taking values in a commutative subalgebra gln,C, we construct a new generalized Zn‐Heisenberg ferromagnet model in (1+1)‐dimensions. The corresponding geometrical equivalence between the generalized Zn‐Heisenberg ferromagnet model and Zn‐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 Zn‐inhomogeneous Heisenberg ferromagnet model and Zn‐Ishimori equation in (2+1)‐dimensions. We also discuss the integrable properties of the multi‐component systems. Meanwhile, the generalized Zn‐nonlinear Schrödinger equation, Zn‐Davey–Stewartson equation and their Lax representation have been well studied.

Date: 2020
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https://doi.org/10.1155/2020/2076074

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:2076074

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