Kadomtsev–Petviashvili Turning Points and CKP Hierarchy

Autor:	Igor Krichever, Anton Zabrodin
Rok vydání:	2021
Předmět:	Pure mathematics Nonlinear Sciences - Exactly Solvable and Integrable Systems Hierarchy (mathematics) 010102 general mathematics Holomorphic function FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Fixed point Characterization (mathematics) 01 natural sciences symbols.namesake Identity (mathematics) Nonlinear Sciences::Exactly Solvable and Integrable Systems Flow (mathematics) 0103 physical sciences symbols 010307 mathematical physics Ramanujan tau function Exactly Solvable and Integrable Systems (nlin.SI) 0101 mathematics Locus (mathematics) Mathematical Physics Mathematics
Zdroj:	Communications in Mathematical Physics. 386:1643-1683
ISSN:	1432-0916 0010-3616
DOI:	10.1007/s00220-021-04119-6
Popis:	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. 44 pages, no figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33d695ffb10a6582624c5b92839a1b10 https://doi.org/10.1007/s00220-021-04119-6 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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