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SUMMARY:Long-time asymptotic series for the Painleve II equation: Riemann-
 Hilbert approach
DTSTART;VALUE=DATE-TIME:20260924T092000Z
DTEND;VALUE=DATE-TIME:20260924T094000Z
DTSTAMP;VALUE=DATE-TIME:20260914T040650Z
UID:indico-contribution-538@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Yurii Zhuravlov (Bogolyubov Institute for Theoretica
 l Physics of the National Academy of Sciences of Ukraine)\nWe elaborate a 
 systematic way to obtain higher order contributions in the nonlinear steep
 est descent method for Riemann-Hilbert problem associated with homogeneous
  Painleve II equation. The problem is reformulated as a matrix factorizati
 on problem on two circles and can be solved perturbatively reducing it to 
 finite systems of algebraic linear equations. The method is applied to fin
 d explicitly long-time asymptotic behaviour for tau function of Painleve I
 I equation.\n\nhttps://indico.bitp.kiev.ua/event/18/contributions/538/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/538/
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