Non-existence of first integrals in a Laurent polynomial ring for general semi-quasihomogeneous systems

doi:10.1007/s00033-005-0036-3

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	Non-existence of first integrals in a Laurent polynomial ring for general semi-quasihomogeneous systems
	Shi, Shaoyun ; Zhu, Wenzhuang ; Liu, Baifeng
	2006-09-01
发表期刊	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN	0044-2275
卷号	57 期号:5 页码:723-732
摘要	In this paper, we give some simple criteria of non-integrability and partial integrability in a Laurent polynomial ring C[u(1)(+/-),...,u(n)(+/-)] for general semi-quasihomogeneous systems.
关键词	first integrals Kowalevsky matrix Laurent polynomials partial integrability semi-quasihomogeneous systems
DOI	10.1007/s00033-005-0036-3
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000240552600001
出版者	BIRKHAUSER VERLAG AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3630
专题	中国科学院数学与系统科学研究院
通讯作者	Shi, Shaoyun
作者单位	1.Jilin Univ, Coll Math, Changchun 130012, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Shi, Shaoyun,Zhu, Wenzhuang,Liu, Baifeng. Non-existence of first integrals in a Laurent polynomial ring for general semi-quasihomogeneous systems[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2006,57(5):723-732.
APA	Shi, Shaoyun,Zhu, Wenzhuang,&Liu, Baifeng.(2006).Non-existence of first integrals in a Laurent polynomial ring for general semi-quasihomogeneous systems.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,57(5),723-732.
MLA	Shi, Shaoyun,et al."Non-existence of first integrals in a Laurent polynomial ring for general semi-quasihomogeneous systems".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 57.5(2006):723-732.