258 citations · 1.5k across the 56 of their papers we have counts for
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math.CA2018★ 11 cited
A Riemann-Hilbert Approach to the Heun Equation
Boris Dubrovin, Andrei Kapaev
We describe the close connection between the linear system for the sixth Painlevé equation and the general Heun equation, formulate the Riemann-Hilbert problem for the Heun functio…
math.CA2017★ 20 cited
Isomonodromy Deformations at an Irregular Singularity with Coalescing Eigenvalues
Giordano Cotti, Boris Dubrovin, Davide Guzzetti
We consider an linear system of ODEs with an irregular singularity of Poincaré rank 1 at , holomorphically depending on parameter within a polydisc in $\m…
math.CA2013★ 9 cited
On an isomonodromy deformation equation without the Painlevé property
Boris Dubrovin, Andrei Kapaev
We show that the fourth order nonlinear ODE which controls the pole dynamics in the general solution of equation compatible with the KdV equation exhibits two remarkable pr…