论文标题
无限的darboux转换和半污物MKDV方程
Infinitesimal Darboux transformation and semi-discrete mKdV equation
论文作者
论文摘要
我们将某些离散平面曲线的连续运动连接，从而与平滑的平面曲线的Darboux变换产生了半混凝土电位Korteweg-De Vries（MKDV）方程。在这样做的过程中，我们定义了包括上述动作在内的无穷小darboux变换，并给出了用于建立半差异潜在MKDV方程的替代几何解释。
We connect certain continuous motions of discrete planar curves resulting in semi-discrete potential Korteweg-de Vries (mKdV) equation with Darboux transformations of smooth planar curves. In doing so, we define infinitesimal Darboux transformations that include the aforementioned motions, and also give an alternate geometric interpretation for establishing the semi-discrete potential mKdV equation.
