论文标题
两次和三台山脉的几何方面
Geometric aspects of two- and threepeakons
论文作者
论文摘要
我们应用几何工具来研究Camassa--Holm方程的两种和三峰溶液的动力学。给出了解决方案渐近行为的新证明。特别是我们恢复了众所周知的碰撞条件。此外，计算了高斯曲率（在Twopeakon情况下）和相应歧管的截面曲率（在Treepeakon情况下）。
We apply geometric tools to study dynamics of two- and threepeakon solutions of the Camassa--Holm equation. New proofs of asymptotic behavior of the solutions are given. In particular we recover well-known collision conditions. Additionally the Gauss curvature (in the twopeakon case) and the sectional curvature (in the treepeakon case) of corresponding manifolds are computed.
