Formal Integrability Criteria for Nonlinear Partial Difference Equations

doi:10.1007/s10440-008-9312-5

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 系统科学研究所

	Formal Integrability Criteria for Nonlinear Partial Difference Equations
	Xie, Zheng 1,2; Li, Hongbo1,2
刊名	ACTA APPLICANDAE MATHEMATICAE
	2009-11-01
卷号	108 期号:2 页码:279-297
关键词	Nonlinear difference equations Spencer cohomology Formal differential geometry Discrete differential geometry
ISSN号	0167-8019
DOI	10.1007/s10440-008-9312-5
英文摘要	In recent years, there has been a substantial growth of interest in discrete differential geometry. Can results in formal differential geometry also be discretized for nonlinear partial difference equations? Using some techniques in exterior difference calculus, we investigate the geometric property of discrete Jet bundles. Further, we define the formal integrability and discrete Spencer cohomology for nonlinear partial difference equations, and give the formal integrability criteria.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000270640500004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9054]
专题	系统科学研究所
通讯作者	Xie, Zheng
作者单位	1.Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xie, Zheng,Li, Hongbo. Formal Integrability Criteria for Nonlinear Partial Difference Equations[J]. ACTA APPLICANDAE MATHEMATICAE,2009,108(2):279-297.
APA	Xie, Zheng,&Li, Hongbo.(2009).Formal Integrability Criteria for Nonlinear Partial Difference Equations.ACTA APPLICANDAE MATHEMATICAE,108(2),279-297.
MLA	Xie, Zheng,et al."Formal Integrability Criteria for Nonlinear Partial Difference Equations".ACTA APPLICANDAE MATHEMATICAE 108.2(2009):279-297.