Formal Integrability Criteria for Nonlinear Partial Difference Equations

doi:10.1007/s10440-008-9312-5

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	Formal Integrability Criteria for Nonlinear Partial Difference Equations
	Xie, Zheng 1,2; Li, Hongbo1,2
	2009-11-01
发表期刊	ACTA APPLICANDAE MATHEMATICAE
ISSN	0167-8019
卷号	108 期号:2 页码:279-297
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.
关键词	Nonlinear difference equations Spencer cohomology Formal differential geometry Discrete differential geometry
DOI	10.1007/s10440-008-9312-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000270640500004
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9055
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.