PAINLEVE RESONANCES VERSUS KOWALEVSKI EXPONENTS - SOME EXACT RESULTS ON SINGULARITY STRUCTURE AND INTEGRABILITY OF DYNAMIC-SYSTEMS

被引:19
作者
YOSHIDA, H
GRAMMATICOS, B
RAMANI, A
机构
[1] OBSERV NICE,F-06300 NICE,FRANCE
[2] CTR NATL ETUD TELECOMMUN,DEPT MATH,F-92131 ISSY MOULINEAUX,FRANCE
[3] ECOLE POLYTECH,CTR PHYS THEOR,F-91128 PALAISEAU,FRANCE
关键词
D O I
10.1007/BF00046688
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:75 / 103
页数:29
相关论文
共 27 条
[1]   NON-LINEAR EVOLUTION EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF PAINLEVE TYPE [J].
ABLOWITZ, MJ ;
RAMANI, A ;
SEGUR, H .
LETTERE AL NUOVO CIMENTO, 1978, 23 (09) :333-338
[2]   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
[3]  
ABLOWITZ MJ, 1983, COMMUN MATH PHYS, V91, P381
[4]  
BUSSAC MN, 1984, COMMUNICATION
[5]   A NEW CLASS OF INTEGRABLE SYSTEMS [J].
DORIZZI, B ;
GRAMMATICOS, B ;
RAMANI, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (09) :2282-2288
[6]  
FIEL D, 1985, THESIS ECOLE POLYTEC
[7]  
FRISCH U, 1980, PHYS REV LETT, V44, P572
[8]  
GOLUBEV V, 1960, LECTURES INTEGRATION
[9]   HAMILTONIANS WITH HIGH-ORDER INTEGRALS AND THE WEAK-PAINLEVE CONCEPT [J].
GRAMMATICOS, B ;
DORIZZI, B ;
RAMANI, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (12) :3470-3473
[10]   CLASSICAL VERSUS QUANTUM INTEGRABILITY [J].
HIETARINTA, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (06) :1833-1840