Speaker
Yurii Zhuravlov
(Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine)
Description
We elaborate a systematic way to obtain higher order contributions in the nonlinear steepest descent method for Riemann-Hilbert problem associated with homogeneous Painleve II equation. The problem is reformulated as a matrix factorization problem on two circles and can be solved perturbatively reducing it to finite systems of algebraic linear equations. The method is applied to find explicitly long-time asymptotic behaviour for tau function of Painleve II equation.
Primary author
Yurii Zhuravlov
(Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine)
Co-author
Nikolai Iorgov
(Bogolyubov Institute for Theoretical Physics)
