On an exact WKB approach to Ablowitz-Segur's connection problem for the second Painlevé equation

• Autores: Yoshitsugu Takei
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 44, Nº 1, 2002, págs. 111-119
• Idioma: inglés
• DOI: 10.1017/s1446181100007963
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• Resumen

  • We discuss Ablowitz-Segur's connection problem for the second Painlevé equation from the viewpoint of WKB analysis of Painlevé transcendents with a large parameter. The formula they first discovered is rederived from a suitable combination of connection formulas for the first Painlevé equation.