THE PAINLEVE PROPERTY AND SINGULARITY ANALYSIS OF INTEGRABLE AND NON-INTEGRABLE SYSTEMS

被引：447

作者：

RAMANI, A

GRAMMATICOS, B

BOUNTIS, T

机构：

[1] UNIV PARIS 07, PHYS NUCL LAB, F-75221 PARIS 05, FRANCE

[2] UNIV PATRAS, DEPT MATH, GR-26110 PATRAS, GREECE

来源：

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS | 1989年 / 180卷 / 03期

关键词：

D O I：

10.1016/0370-1573(89)90024-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：159 / 245

页数：87

共 148 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 .2. [J].

ABLOWITZ, MJ ;

RAMANI, A ;

SEGUR, H .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (05) :1006-1015

[3] 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

[4] EXACT LINEARIZATION OF A PAINLEVE TRANSCENDENT [J].

ABLOWITZ, MJ ;

SEGUR, H .

PHYSICAL REVIEW LETTERS, 1977, 38 (20) :1103-1106

[5] RESONANTLY COUPLED NONLINEAR EVOLUTION EQUATIONS [J].

ABLOWITZ, MJ ;

HABERMAN, R .

JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (11) :2301-2305

[6]

ABLOWITZ MJ, 1981, SIAM STUDIES APPLIED

[7]

ABRAMMOWITZ M, 1972, HDB MATH FUNCTIONS

[8] THE KOWALEWSKI AND HENON-HEILES MOTIONS AS MANAKOV GEODESIC-FLOWS ON SO(4) - A TWO-DIMENSIONAL FAMILY OF LAX PAIRS [J].

ADLER, M ;

VANMOERBEKE, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 113 (04) :659-700

[9] KOWALEWSKI ASYMPTOTIC METHOD, KAC-MOODY LIE-ALGEBRAS AND REGULARIZATION [J].

ADLER, M ;

VANMOERBEKE, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 83 (01) :83-106

[10] THE ALGEBRAIC INTEGRABILITY OF GEODESIC-FLOW ON SO(4) [J].

ADLER, M ;

VANMOERBEKE, P .

INVENTIONES MATHEMATICAE, 1982, 67 (02) :297-331

← 1 2 3 4 5 6 7 8 9 10 →