论文标题
在Painleve-III（D7）方程的代数解上
On the algebraic solutions of the Painleve-III (D7) equation
论文作者
论文摘要
Painleve-III方程的D7变性具有解决方案的解决方案，对于某些参数值而言，它们是$ X^{1/3} $的合理函数。我们采用异构解释方法来获得这些溶液的Riemann-Hilbert表示。我们通过严格分析较大的参数限制的解决方案的行为来证明该表示的实用性。
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.
