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Kadomtsev-Petviashvili turning points and CKP hierarchy

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arxiv 2012.04482 v1 pith:DM2ITINS submitted 2020-12-08 nlin.SI math-phmath.MP

I. Krichever , A. Zabrodin This is my paper · ORCID
classification nlin.SImath-phmath.MP
keywords hierarchypointskadomtsev-petviashvilisolutionstau-functionturningalgebraic-geometricalcharacterization
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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.

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  1. Elliptic solutions to matrix CKP equation

    nlin.SI 2026-08 conditional novelty 6.0 of 10

    Elliptic solutions of the matrix CKP equation have pole dynamics described by a first-order system, equations (47)-(48), generalizing the scalar CKP result.

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