On a WKB-theoretic transformation for a completely integrable system near a degenerate point where two turning points coalesce

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Abstract

We discuss the exact WKB analysis for a completely integrable system in two variables with a large parameter. Using a WKB-theoretic transformation, we study the behavior of the system near a degenerate point where two turning points coalesce.

Original languageEnglish
Pages (from-to)19-84
Number of pages66
JournalPublications of the Research Institute for Mathematical Sciences
Volume50
Issue number1
DOIs
Publication statusPublished - 2014

Keywords

  • Completely integrable system
  • Exact WKB analysis
  • Pearcey system

ASJC Scopus subject areas

  • Mathematics(all)

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