Parametric Painlevé equations

被引：0
|
作者：
Kitaev A.V. [1 ]
机构：
[1] St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg
来源：
Journal of Mathematical Sciences | 2013年 / 192卷 / 1期
关键词：
General Solution; Short Pulse; Analytic Property; Parametric Form; Similarity Solution;
D O I：
10.1007/s10958-013-1375-9
中图分类号：
学科分类号：
摘要：
Parametric Painlevé equations are the ODEs for which general solutions can be represented in parametric form in terms of Painlevé functions. Most of these ODEs do not possess the Painlevé property. Considering similarity solutions of the Short Pulse Equation and its decoupled generalization, we derive a nontrivial example of a parametric Painlevé equation related to the third Painlevé equation. We also discuss some analytic properties of this equation describing the structure of movable singularities. Bibliography: 14 titles © 2013 Springer Science+Business Media New York.
引用
收藏
页码：81 / 90
页数：9
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