We investigate a continuous Heisenberg spin chain equation which models the local magnetization in ferromagnet with time- and site-dependent inhomogeneous bilinear interaction and time-dependent spin-transfer torque. By establishing the gauge equivalence between the spin chain equation and an integrable generalized nonlinear Schrdinger equation, we present explicitly a novel nonautonomous magnetic soliton solution for the spin chain equation. The results display how the dynamics of the magnetic soliton can be controlled by the bilinear interaction and spin-polarized current. Especially, we find that the site-dependent bilinear interaction may break some conserved quantity, and give rise to damping-like effect in the spin evolution.

我们研究了一个连续的海森堡自旋链方程，该方程用时间和位置相关的非均匀双线性相互作用和时间相关的自旋转移扭矩对铁磁体中的局部磁化进行建模。通过建立自旋链方程和可积广义非线性薛定谔方程之间的规范等价，我们明确地提出了自旋链方程的新的非自治磁孤子解。结果显示了如何通过双线性相互作用和自旋极化电流来控制磁孤子的动力学。特别是，我们发现位点相关的双线性相互作用可能会破坏一些守恒量，并在自旋演化中产生类似阻尼的效应。