The inverse monodromy transform is a canonical transformation

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Abstract

This chapter discusses the inverse monodromy transform, explaining how it is a canonical transformation. The Inverse Monodromy Transform (IMT) parallels the Inverse Scattering Transform (IST). The finite dimensional solution manifold for these flows is not necessarily compact, not a torus, and so the KAM theorem does not directly apply. The potential connection between a possible preservation of the solution manifold and the preservation of the Painleve property is an intriguing one. Now the contours are the same as those used in the integral definitions of Airy functions.

Original languageEnglish (US)
Pages (from-to)65-89
Number of pages25
JournalNorth-Holland Mathematics Studies
Volume61
Issue numberC
DOIs
StatePublished - Jan 1 1982

ASJC Scopus subject areas

  • Mathematics(all)

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