The D7 degeneration of the Painleve-III equation has solutions that are rational functions of $x^{1/3}$ for certain parameter values. We apply the isomonodromy method to obtain a Riemann-Hilbert representation of these solutions. We demonstrate the utility of this representation by analyzing rigorously the behavior of the solutions in the large parameter limit.Comment: 35 pages, 7 figure
In a recent paper [1], we classified the critical behaviour of solutions of the discrete Painleve eq...
We will describe a method for constructing explicit algebraic solutions to the sixth Painleve equati...
In a recent paper [1], we classified the critical behaviour of solutions of the discrete Painleve eq...
The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involvi...
We study the sixth $q$-difference Painlev\'e equation ($q{\textrm{P}_{\textrm{VI}}}$) through its as...
Hirota's discrete KdV equation is an integrable partial difference equation on $\mathbb{Z}^2$, which...
The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involvi...
The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involvi...
The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involvi...
By means of geometrical classification (\cite{S}) of space of initial conditions, it is natural to ...
Abstract. The Riemann–Hilbert approach for the equations PIII(D6) and PIII(D7) is studied in detail,...
The inverse monodromy method for studying the Riemann-Hilbert problem associated with classical Pain...
The critical behavior of a three real parameter class of solutions of the sixth Painlev´e equation ...
We present a construction of a class of rational solutions of the Painlev\'e V equation that exhibit...
We show how the zero-curvature equations based on a loop algebra of $D_4$with a principal gradation ...
In a recent paper [1], we classified the critical behaviour of solutions of the discrete Painleve eq...
We will describe a method for constructing explicit algebraic solutions to the sixth Painleve equati...
In a recent paper [1], we classified the critical behaviour of solutions of the discrete Painleve eq...
The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involvi...
We study the sixth $q$-difference Painlev\'e equation ($q{\textrm{P}_{\textrm{VI}}}$) through its as...
Hirota's discrete KdV equation is an integrable partial difference equation on $\mathbb{Z}^2$, which...
The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involvi...
The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involvi...
The Riemann-Hilbert approach for the equations PIII(D-6) and PIII(D-7) is studied in detail, involvi...
By means of geometrical classification (\cite{S}) of space of initial conditions, it is natural to ...
Abstract. The Riemann–Hilbert approach for the equations PIII(D6) and PIII(D7) is studied in detail,...
The inverse monodromy method for studying the Riemann-Hilbert problem associated with classical Pain...
The critical behavior of a three real parameter class of solutions of the sixth Painlev´e equation ...
We present a construction of a class of rational solutions of the Painlev\'e V equation that exhibit...
We show how the zero-curvature equations based on a loop algebra of $D_4$with a principal gradation ...
In a recent paper [1], we classified the critical behaviour of solutions of the discrete Painleve eq...
We will describe a method for constructing explicit algebraic solutions to the sixth Painleve equati...
In a recent paper [1], we classified the critical behaviour of solutions of the discrete Painleve eq...
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