12 citations · 15 across the 3 of their papers we have counts for
5 papers
Remarks Towards the Classification of -Transformations and Algebraic Solutions of the Sixth Painlevé Equation
A. V. Kitaev
We introduce a notion of the divisor type for rational functions and show that it can be effectively used for the classification of the deformations of dessins d'enfants related wi…
The Dirichlet Boundary Value Problem for Real Solutions of the first Painlevé Equation on Segments on Non-Positive Semi-Axis
N. Joshi, A. V. Kitaev
We develop a qualitative theory for real solutions of the equation . In this work a restriction is assumed. An important ingredient of our theory is the intro…
Dessins d'Enfants, Their Deformations and Algebraic the Sixth Painlevé and Gauss Hypergeometric Functions
A. V. Kitaev
We consider an application of Grothendieck's dessins d'enfants to the theory of the sixth Painlevé and Gauss hypergeometric functions: two classical special functions of the isomon…
Special Functions of the Isomonodromy Type, Rational Transformations of Spectral Parameter, and Algebraic Solutions of the Sixth Painlevé Equation
A. V. Kitaev
We discuss relations which exist between analytic functions belonging to the recently introduced class of special functions of the isomonodromy type (SFITs). These relations can be…
Asymptotics of Solutions to the Modified Nonlinear Schrödinger Equation: Solitons on a Non-Vanishing Continuous Background
A. V. Kitaev, A. H. Vartanian
Using the matrix Riemann-Hilbert factorization approach for nonlinear evolution systems which take the form of Lax-pair isospectral deformations and whose corresponding Lax operato…