INTEGRABILITY OF HAMILTONIANS WITH 3RD-DEGREE AND 4TH-DEGREE POLYNOMIAL POTENTIALS

被引：80

作者：

GRAMMATICOS, B ^{[1
]}

DORIZZI, B ^{[1
]}

RAMANI, A ^{[1
]}

机构：

[1] ECOLE POLYTECH,F-91128 PALAISEAU,FRANCE

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1983年 / 24卷 / 09期

关键词：

D O I：

10.1063/1.525976

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：2289 / 2295

页数：7

共 12 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]

Bertrand J., 1852, J MATH PURES APPL, V17, P121

[4]

BOUNTIS T, 1982, AIP C P, V88

[5] ANALYTIC STRUCTURE OF THE HENON-HEILES HAMILTONIAN IN INTEGRABLE AND NON-INTEGRABLE REGIMES [J].

CHANG, YF ;

TABOR, M ;

WEISS, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (04) :531-538

[6] A NEW CLASS OF INTEGRABLE SYSTEMS [J].

DORIZZI, B ;

GRAMMATICOS, B ;

RAMANI, A .

JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (09) :2282-2288

[7]

DORIZZI B, 1982, PREPRINT

[8] PAINLEVE PROPERTY AND INTEGRALS OF MOTION FOR THE HENON-HEILES SYSTEM [J].

GRAMMATICOS, B ;

DORIZZI, B ;

PADJEN, R .

PHYSICS LETTERS A, 1982, 89 (03) :111-113

[9]

GREENE JA, CITED INDIRECTLY

[10]

HALL LJ, 1982, UNPUB ANN PHYS NY

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