Partial integrability for general nonlinear systems

被引：17

作者：

Kwek, KH ^{[1
]}

Li, Y

Shi, SY

机构：

[1] Natl Univ Singapore, Logist Inst Asia Pacific, Singapore 119260, Singapore

[2] Jilin Univ, Dept Math, Changchun 130023, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2003年 / 54卷 / 01期

关键词：

partial integrability; nontrivial integrals; Kowalevsky exponents; semi-quasihomogeneous systems;

D O I：

10.1007/PL00012633

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to find a criterion of partial integrability for general nonlinear systems. Here partial integrability means the existence of a certain numbers of first integrals less than the number required for the complete integration [10]. We also give an algebraic criterion of partial integrability for general semi-quasihomogeneous systems.

引用

页码：26 / 47

页数：22

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