On the location of poles for the Ablowitz-Segur family of solutions to the second Painleve equation

被引：15
|
作者：
Bertola, M. [1 ,2 ]
机构：
[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada
[2] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada
来源：
NONLINEARITY | 2012年 / 25卷 / 04期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1088/0951-7715/25/4/1179
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using a simple operator-norm estimate we show that the solution to the second Painleve equation within the Ablowitz-Segur family is pole-free in a well-defined region of the complex plane of the independent variable. The result is illustrated with several numerical examples.
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页数：7
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