论文标题
对退化的第三次Parelevé超越者的Boutroux Ansatz
Boutroux ansatz for the degenerate third Painlevé transcendents
论文作者
论文摘要
对于退化的第三次Parelevé方程的一般解决方案,我们显示了无穷大点附近的Boutroux Ansatz。它承认沿通用方向的奶酪样条中的Weierstrass PE功能在渐进式PE功能方面承认。该表达是通过使用由退化的第三次Parelevé方程控制的线性系统的异构体畸形获得的。
For a general solution of the degenerate third Painlevé equation we show the Boutroux ansatz near the point at infinity. It admits an asymptotic representation in terms of the Weierstrass pe-function in cheese-like strips along generic directions. The expression is obtained by using isomonodromy deformation of a linear system governed by the degenerate third Painlevé equation.