Formal integrability criteria for nonlinear partial difference equations

DOI10.1007/s10440-008-9312-5zbMath1183.39006OpenAlexW2139422280MaRDI QIDQ1037623

Zheng Xie, Hong-Bo Li

Publication date: 16 November 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9312-5

zbMATH Keywords

formal integrabilitydiscrete differential geometryhomological algebranonlinear partial difference equationsSpencer cohomologydiscrete jet bundlesdiscrete tensor algebraexterior difference calculusformal differential geometry

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Exterior differential systems (Cartan theory) (58A15) Partial difference equations (39A14)

Cites Work

• Discrete Lagrangian field theories on Lie groupoids
• Difference discrete connection and curvature on cubic lattice
• Exterior difference system on hypercubic lattice
• Existence theorems for analytic linear partial differential equations
• Integrability criteria for systems of nonlinear partial differential equations
• The D-Neumann problem
• On E. Cartan's Prolongation Theorem of Exterior Differential Systems
• Discrete Riemannian geometry
• Overdetermined systems of linear partial differential equations
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