THE PAINLEVE PROPERTY TRANSFORMED

被引：5
作者：
SAKOVICH, SY
机构：
[1] Inst. of Phys., Byelorussian Acad. of Sci., Minsk
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 13期
关键词：
D O I：
10.1088/0305-4470/25/13/011
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Noteworthy analytic properties of the Dym-Kruskal equation, such as the weak Painleve property and the Pogrebkov property (a second-order pole at infinity), are proven to be exactly the image of the usual Painleve property under the Ibragimov transformation. The transformed Painleve analysis is carried out for two infinite sets of evolution equations similar to the Dym-Kruskal equation. Only four of the equations pass the test, being known and integrable.
引用
收藏
页码：L833 / L836
页数：4
相关论文
共 19 条
[1]   THE ABUNDANT SYMMETRY STRUCTURE OF HIERARCHIES OF NONLINEAR EQUATIONS OBTAINED BY RECIPROCAL LINKS [J].
CARILLO, S ;
FUCHSSTEINER, B .
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (07) :1606-1613
[2]   THE PAINLEVE PROPERTY AND A PARTIAL-DIFFERENTIAL EQUATION WITH AN ESSENTIAL SINGULARITY [J].
CLARKSON, PA .
PHYSICS LETTERS A, 1985, 109 (05) :205-208
[3]  
DOKTOROV EV, 1985, J PHYS A, V18, P327
[4]   POLYNOMIAL EVOLUTION-EQUATIONS OF NOT NORMAL TYPE ADMITTING NONTRIVIAL SYMMETRIES [J].
FUJIMOTO, A ;
WATANABE, Y .
PHYSICS LETTERS A, 1989, 136 (06) :294-299
[5]   A NEW APPROACH TO COMPLETELY INTEGRABLE PARTIAL-DIFFERENTIAL EQUATIONS BY MEANS OF SINGULARITY ANALYSIS [J].
HARADA, H ;
OISHI, S .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1985, 54 (01) :51-56
[6]   PAINLEVE ANALYSIS OF THE CALOGERO-DEGASPERIS-FOKAS EQUATION [J].
HLAVATY, L .
PHYSICS LETTERS A, 1985, 113 (04) :177-178
[7]  
IBRAGIMOV N, 1981, CR ACAD SCI I-MATH, V293, P657
[8]  
Ibragimov N. Kh., 1985, TRANSFORMATION GROUP
[9]  
KRUSKAL MD, 1975, LECTURE NOTES PHYSIC, V38, P310
[10]   A UNIFIED APPROACH TO PAINLEVE EXPANSIONS [J].
NEWELL, AC ;
TABOR, M ;
ZENG, YB .
PHYSICA D, 1987, 29 (1-2) :1-68
12