SYMMETRIES OF NONLINEAR DIFFERENTIAL-EQUATIONS AND LINEARIZATION

被引：48

作者：

SARLET, W ^{[1
]}

MAHOMED, FM ^{[1
]}

LEACH, PGL ^{[1
]}

机构：

[1] UNIV WITWATERSRAND,DEPT APPL MATH,JOHANNESBURG 2001,SOUTH AFRICA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1987年 / 20卷 / 02期

关键词：

D O I：

10.1088/0305-4470/20/2/014

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：277 / 292

页数：16

共 17 条

[1] INFINITESIMAL SYMMETRY TRANSFORMATIONS .2. SOME ONE-DIMENSIONAL NONLINEAR-SYSTEMS [J].

AGUIRRE, M ;

KRAUSE, J .

JOURNAL OF MATHEMATICAL PHYSICS, 1985, 26 (04) :593-600

[2] GENERALIZATION OF LIES COUNTING THEOREM FOR SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS [J].

ANDERSON, RL ;

DAVISON, SM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 48 (01) :301-315

[3]

[Anonymous], 1983, GEOMETRICAL METHODS

[4]

BERKOVICH LM, 1979, PMM-J APPL MATH MEC, V43, P673

[5]

BLUMAN GW, 1974, SIMILARITY METHODS 1

[6]

Cartan E., 1924, B SOC MATH FRANCE, V52, P205, DOI 10.24033/bsmf.1053

[7] WHEN NON-LINEAR DIFFERENTIAL-EQUATIONS ARE EQUIVALENT TO LINEAR-DIFFERENTIAL EQUATIONS [J].

KUMEI, S ;

BLUMAN, GW .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1982, 42 (05) :1157-1173

[8] 1ST INTEGRALS FOR THE MODIFIED EMDEN EQUATION Q+ALPHA(T)Q+QN=O [J].

LEACH, PGL .

JOURNAL OF MATHEMATICAL PHYSICS, 1985, 26 (10) :2510-2514

[9] APPLICATIONS OF THE LIE THEORY OF EXTENDED GROUPS IN HAMILTONIAN-MECHANICS - THE OSCILLATOR AND THE KEPLER-PROBLEM [J].

LEACH, PGL .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1981, 23 (OCT) :173-186

[10]

LIE S, 1967, DIFFERENTIALGLEICHUN, P425

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