标题： 酉矩阵模型和Painlevé III 显示英文标题

标题： Unitary Matrix Models and Painlevé III

摘要： 我们讨论了全酉矩阵模型与Painlevé III之间的关系。 将Toda方程和字符串方程耦合，我们推导出P III方程的一个特例。 从Virasoro约束出发，我们可以使用径向坐标。 $t_{1}$与$t_{-1}$之间的关系类似于共轭复数。 显示英文摘要

摘要： We discussed relations between the full unitary matrix models and the Painlev\'{e} III. Coupling the Toda equations and the string equations, we derive a special case of the P III equation. From the Virasoro constrains, we can use the radial coordinate. The relation between $t_{1}$ and $t_{-1}$ is like the complex conjugate.