Analytic Properties of Solutions to Equations in the Generalized Hierarchy of the Second Painleve Equation

被引：5
作者：
Gromak, V., I [1 ]
机构：
[1] Belarusian State Univ, Minsk 220030, BELARUS
来源：
DIFFERENTIAL EQUATIONS | 2020年 / 56卷 / 08期
关键词：
ORDINARY DIFFERENTIAL-EQUATIONS; RATIONAL SOLUTIONS; DEFORMATION;
D O I：
10.1134/S0012266120080030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the analytic properties of solutions to equations of arbitrary order in the generalized hierarchy of the second Painleve equation. The local properties of solutions, the Backlund transformations, and rational solutions and their representations via generalized Yablonskii-Vorob'ev polynomials are studied.
引用
收藏
页码：993 / 1009
页数：17
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