@article {2013,
title = {On an isomonodromy deformation equation without the Painlev{\'e} property},
number = {Russian Journal of Mathematical Physics},
year = {2014},
note = {34 pages, 8 figures, references added},
publisher = {Maik Nauka-Interperiodica Publishing},
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.},
doi = {10.1134/S1061920814010026},
url = {http://hdl.handle.net/1963/6466},
author = {Boris Dubrovin and Andrey Kapaev}
}