GENERALIZED LIE SYMMETRIES AND COMPLETE-INTEGRABILITY OF CERTAIN NONLINEAR HAMILTONIAN-SYSTEMS WITH 3-DEGREES OF FREEDOM

被引：21

作者：

LAKSHMANAN, M ^{[1
]}

SAHADEVAN, R ^{[1
]}

机构：

[1] UNIV MADRAS, RAMANUJAN INST ADV STUDY MATH, MADRAS 600005, TAMIL NADU, INDIA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 01期

关键词：

D O I：

10.1063/1.529097

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A systematic method for investigating the existence of nontrivial generalized Lie symmetries is presented and the associated integrals of motion for nonlinear oscillator systems with three-degrees of freedom defined in terms of the Lagrangian by L = 1/2(x2 + y2 + z2) - V(x,y,z) are constructed. Then the method is applied to study the integrability properties of quartically and cubically coupled nonlinear oscillators with three degrees of freedom. Compatibility with the Painleve property is also investigated.

引用

页码：75 / 83

页数：9

共 18 条

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