论文标题
可集成的kuralay方程：几何，解决方案和概括
Integrable Kuralay equations: geometry, solutions and generalizations
论文作者
论文摘要
在本文中，我们研究了kuralay方程，即kuralay-i方程（k-ie）和kuralay-II方程（K-IIE）。研究了这些方程引起的空间曲线的整合运动。建立了这两个方程之间的量规等值。借助于海洛塔双线性方法，还提出了最简单的孤子溶液。考虑了K-IE和K-IIE的非本地和分散版本。
In this paper, we study the Kuralay equations, namely, the Kuralay-I equation (K-IE) and the Kuralay-II equation (K-IIE). The integrable motion of space curves induced by these equations is investigated. The gauge equivalence between these two equations is established. With the help of the Hirota bilinear method, the simplest soliton solutions are also presented. The nonlocal and dispersionless versions of the K-IE and K-IIE are considered.
