MENU

You are here

On an isomonodromy deformation equation without the Painlevé property

TitleOn an isomonodromy deformation equation without the Painlevé property
Publication TypeJournal Article
Year of Publication2014
AuthorsDubrovin, B, Kapaev, A
Abstract

We show that the fourth order nonlinear ODE which controls the pole dynamics
in the general solution of equation $P_I^2$ compatible with the KdV equation
exhibits two remarkable properties: 1) it governs the isomonodromy deformations
of a $2\times2$ matrix linear ODE with polynomial coefficients, and 2) it does
not possesses the Painlev\'e property. We also study the properties of the
Riemann--Hilbert problem associated to this ODE and find its large $t$
asymptotic solution for the physically interesting initial data.

URLhttp://hdl.handle.net/1963/6466
DOI10.1134/S1061920814010026

Sign in