当前位置:
X-MOL 学术
›
Commun. Math. Phys.
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Kadomtsev–Petviashvili Turning Points and CKP Hierarchy
Communications in Mathematical Physics ( IF 2.4 ) Pub Date : 2021-05-24 , DOI: 10.1007/s00220-021-04119-6 I. Krichever , A. Zabrodin
中文翻译:
Kadomtsev–Petviashvili转折点和CKP层次结构
更新日期:2021-05-25
Communications in Mathematical Physics ( IF 2.4 ) Pub Date : 2021-05-24 , DOI: 10.1007/s00220-021-04119-6 I. Krichever , A. Zabrodin
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. A new identity for theta-functions of curves with holomorphic involution having fixed points is obtained.
中文翻译:
Kadomtsev–Petviashvili转折点和CKP层次结构
根据KP tau函数,给出了C型Kadomtsev–Petviashvili层次结构(CKP)的表征。即,我们证明了可以在第二流的转折点的轨迹上通过限制KP层级的奇数时间流来识别CKP层级。阐明了CKP tau功能的概念,并将其与KP tau功能联系起来。详细讨论了代数几何解决方案,特别是椭圆解。获得具有固定点的全纯对合的曲线的θ函数的新标识。