Abstract:
In the work we use integral formulas for calculating the monodromy data for the
Painlevé-2 equation. The perturbation theory for the auxiliary linear system is constructed and
formulas for the variation of the monodromy data are obtained. We also derive a formula for
solving the linearized Painlevé-2 equation based on the Fourier-type integral of the squared
solutions of the auxiliary linear system of equations.
References