Truncated solutions of the fifth Painlevé equation
Truncated solutions of the fifth Painlevé equation
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DOI：
10.1619/fesi.54.451
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发表时间：
2011-11
影响因子：
0.5
通讯作者：
S. Shimomura
中科院分区：
文献类型：
--
作者：
S. Shimomura
第五个 Painleve 方程允许多个解族在接近无穷大的本征扇区中呈指数行为，这些解称为截断解。对于这些截断的解，我们讨论 a 点的频率，包括相应扇区之外的极点。除一些特殊情况外，所有值均等分布，并且对于每个 a 都存在无穷多个 a 点。
The fifth Painleve equation admits several families of solutions behaving exponentially in their proper sectors near infinity, which are called truncated solutions. For these truncated solutions, we discuss the frequency of a-points including poles outside the corresponding sectors. Except for some special cases, all the values are equally distributed, and for each a there exist infinitely many a-points.