中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 系统科学研究所
Formal Integrability Criteria for Nonlinear Partial Difference Equations

文献类型：期刊论文

作者Xie, Zheng1,2; Li, Hongbo1,2
刊名ACTA APPLICANDAE MATHEMATICAE
出版日期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
DOI10.1007/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
WOS记录号WOS:000270640500004
出版者SPRINGER
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。