Browsing by Subject "potential vector field"
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Item type:Article, Access status: Open Access , Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation(Wydawnictwa AGH, 2018) Katō, Mitsuo; Mano, Toshiyuki; Sekiguchi, JirōA potential vector field is a solution of an extended WDVV equation which is a generalization of a WDVV equation. It is expected that potential vector fields corresponding to algebraic solutions of Painlevé VI equation can be written by using polynomials or algebraic functions explicitly. The purpose of this paper is to construct potential vector fields corresponding to more than thirty non-equivalent algebraic solutions.
