论文标题
kadomtsev-petviashvili（KP）和Gelfand-Dickey层次结构的拉格朗日多形式
Lagrangian multiforms for Kadomtsev-Petviashvili (KP) and the Gelfand-Dickey hierarchy
论文作者
论文摘要
我们首次介绍了完整的Kadomtsev-Petviashvili（KP）层次结构的Lagrangian多形式 - 一个单个变异对象，生成整个层次结构并封装了其集成性。通过对这个Lagrangian多形式进行减少，我们还为层次结构的Gelfand-Dickey层次结构获得了Lagrangian多形式，包括Korteweg-de Vries和Boussinesq层次结构。
We present, for the first time, a Lagrangian multiform for the complete Kadomtsev-Petviashvili (KP) hierarchy -- a single variational object that generates the whole hierarchy and encapsulates its integrability. By performing a reduction on this Lagrangian multiform, we also obtain Lagrangian multiforms for the Gelfand-Dickey hierarchy of hierarchies, comprising, amongst others, the Korteweg-de Vries and Boussinesq hierarchies.
