2025/04/11 by Robert Conte, Conte, Robert
Computer Science · Mathematics · Physics and Astronomy · #Polynomial and algebraic computation #Mathematics and Applications #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2504.08287
For each of the forty-eight exceptional algebraic solutions u(x) of the sixth equation of Painlevé, we build the algebraic curve P(u,x)=0 of a degree conjectured to be minimal, then we give an optimal parametric representation of it. This degree is equal to the number of branches, except for fifteen solutions.