By Carl Bender and Javad Komijani

This paper is an addendum to earlier papers \cite{R1,R2} in which it was shown that the unstable separatrix solutions for Painlev\'e I and II are determined by *PT*-symmetric Hamiltonians. In this paper unstable separatrix solutions of the fourth Painlev\'e transcendent are studied numerically and analytically. For a fixed initial value,... Show more

August 3, 2021

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Fourth Painlevé Equation and $PT$-Symmetric Hamiltonians

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