论文标题
kadomtsev-petviashvili转折点和CKP层次结构
Kadomtsev-Petviashvili turning points and CKP hierarchy
论文作者
论文摘要
给出了CP型tau功能的kadomtsev-petviashvili层次结构的表征。也就是说，我们可以证明，可以通过限制KP层次结构的奇数流在第二流的转弯点的位置上识别CKP层次结构。 CKP tau功能的概念被阐明并与KP tau函数相连。详细讨论了代数地面溶液，特别是椭圆溶液。获得了具有固定点的全体形态相关性的曲线曲线的新身份。
A characterization of the Kadomtsev-Petviashvili hierarchy of type C (CKP) in terms of the KP tau-function is given. Namely, we prove that the CKP hierarchy can be identified with the restriction of odd times flows of the KP hierarchy on the locus of turning points of the second flow. The notion of CKP tau-function is clarified and connected with the KP tau function. Algebraic-geometrical solutions and in particular elliptic solutions are discussed in detail. The new identity for theta-functions of curves with holomorphic involution having fixed points is obtained.
