Relations between different Hamiltonian forms of the third Painlevé equation

2021/11/18 by Filipuk, Galina, Ligȩza, Adam, Stokes, Alexander
#34M55 #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2111.09812

Abstract

In this paper we study different Hamiltonian systems with polynomial and rational Hamiltonians associated with the generic third Painlevé equation and present explicit birational transformations relating them.

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