Formal integrability criteria for nonlinear partial difference equations
DOI10.1007/s10440-008-9312-5zbMath1183.39006OpenAlexW2139422280MaRDI QIDQ1037623
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
formal integrabilitydiscrete differential geometryhomological algebranonlinear partial difference equationsSpencer cohomologydiscrete jet bundlesdiscrete tensor algebraexterior difference calculusformal differential geometry
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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