Serret-Frenet框架中的双Hamilton结构
Bi-Hamiltonian Structure in Serret-Frenet Frame
摘要：
我们把构造三维双Hamilton结构的问题归结为求解Serret-Frenet标架移动坐标系下的Riccati方程。然后，我们表明，无论是相应的二阶方程的线性无关的解决方案或移动框架的法向量意味着两个兼容的泊松结构。
英文摘要：
We reduced the problem of constructing bi-Hamiltonian structure in three dimensions to the solution of a Riccati equation in moving coordinates of Serret-Frenet frame. We then show that either the linearly independent solutions of the corresponding second order equation or the normal vectors of the moving frame imply two compatible Poisson structures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
