非均匀推广的海森堡铁磁链模型与可积方程

A Model and Integrable Equation of Inhomogeneous Generalized Heisenberg Ferromagnet

利用延拓结构研究了可积的非均匀推广的海森堡铁磁链方程。通过将非均匀推广的海森堡铁磁链的自旋矢量取为闵可夫斯基空间中曲线的次法矢量,得到相应的耦合的非均匀可积方程。

This paper investigates the integrable inhomogeneous generalized Heisenberg ferromagnet model by using the prolongation structure theory. By associating the spin vector of the inhomogeneous generalized Heisenberg ferromagnet with the binormal to a moving curve in Minkowski space, the corresponding equivalent coupled inhomogeneous integrable equation is present.