PAINLEVE ANALYSIS, YOSHIDA THEOREMS AND DIRECT METHODS IN THE SEARCH FOR INTEGRABLE HAMILTONIANS

被引:17
作者
ROEKAERTS, D [1 ]
SCHWARZ, F [1 ]
机构
[1] GMD,INST F1,D-5205 ST AUGUSTIN,FED REP GER
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1987年 / 20卷 / 03期
关键词
D O I
10.1088/0305-4470/20/3/003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
引用
收藏
页码:L127 / L133
页数:7
相关论文
共 15 条
[1]   A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .1. [J].
ABLOWITZ, MJ ;
RAMANI, A ;
SEGUR, H .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) :715-721
[2]   NEW INTEGRABLE 3-DIMENSIONAL QUARTIC POTENTIALS [J].
DORIZZI, B ;
GRAMMATICOS, B ;
HIETARINTA, J ;
RAMANI, A ;
SCHWARZ, F .
PHYSICS LETTERS A, 1986, 116 (09) :432-436
[3]  
DORIZZI B, 1985, J MATH PHYS, V26, P3071
[4]   INTEGRABILITY OF HAMILTONIANS ASSOCIATED WITH FOKKER-PLANCK EQUATIONS [J].
GRAHAM, R ;
ROEKAERTS, D ;
TEL, T .
PHYSICAL REVIEW A, 1985, 31 (05) :3364-3375
[5]   INTEGRABILITY OF HAMILTONIANS WITH 3RD-DEGREE AND 4TH-DEGREE POLYNOMIAL POTENTIALS [J].
GRAMMATICOS, B ;
DORIZZI, B ;
RAMANI, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (09) :2289-2295
[6]   HOW TO CONSTRUCT INTEGRABLE FOKKER-PLANCK AND ELECTROMAGNETIC HAMILTONIANS FROM ORDINARY INTEGRABLE HAMILTONIANS [J].
HIETARINTA, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1985, 26 (08) :1970-1975
[7]  
HIETARINTA J, 1986, FTLR100 PREPR TURK
[8]  
LOUW JA, 1986, J PHYS A-MATH GEN, V19, pL569, DOI 10.1088/0305-4470/19/10/002
[9]   PAINLEVE CONJECTURE REVISITED [J].
RAMANI, A ;
DORIZZI, B ;
GRAMMATICOS, B .
PHYSICAL REVIEW LETTERS, 1982, 49 (21) :1539-1541