Existence and Uniqueness of Tronquée Solutions of the Third and Fourth Painlevé Equations
arXiv:1306.1317 · doi:10.1088/0951-7715/27/2/171
Abstract
It is well-known that the first and second Painlevé equations admit solutions characterised by divergent asymptotic expansions near infinity in specified sectors of the complex plane. Such solutions are pole-free in these sectors and called tronquée solutions by Boutroux. In this paper, we show that similar solutions exist for the third and fourth Painlevé equations as well.
20 pages
References in corpus (5)
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