论文标题
Zakharov-Ito方程和广义Heisenberg Ferromagnet型方程：等效性和相关几何曲线流量
Zakharov-Ito equation and Generalized Heisenberg ferromagnet-type equation: equivalence and related geometric curve flows
论文作者
论文摘要
这些结果继续我们对可综合的概括性海森贝格铁磁性方程（GHFE）及其等效对应物进行的研究。我们认为GHFE是Zakharov-Ito方程（Zie）的旋转等效物。我们已经确定这些方程是相互等效的量规和几何形式。构建了由Zie引起的空间曲线的整合运动。 GHFE的1-溶液是从Zie的种子溶液中获得的。
These results continue our studies of integrable generalized Heisenberg ferromagnet-type equations (GHFE) and their equivalent counterparts. We consider the GHFE which is the spin equivalent of the Zakharov-Ito equation (ZIE). We have established that these equations are gauge and geometrical equivalent to each other. The integrable motion of space curves induced by the ZIE is constructed. The 1-soliton solution of the GHFE is obtained from the seed solution of the ZIE.
