Compatibility, multi-brackets and integrability of systems of PDEs
Permanent link
https://hdl.handle.net/10037/2048Date
2008-02-20Type
Journal articleTidsskriftartikkel
Peer reviewed
Abstract
We establish an efficient compatibility criterion for a system of generalized
complete intersection type in terms of certain multi-brackets of
differential operators. These multi-brackets generalize the higher Jacobi-
Mayer brackets, important in the study of evolutionary equations and the
integrability problem. We also calculate Spencer δ-cohomology of generalized
complete intersections and evaluate the formal functional dimension
of the solutions space. The results are applied to establish new integration
methods and solve several differential-geometric problems.
Description
Dette er forfatternes aksepterte versjon
Publisher
Springer NetherlandsCitation
Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications DOI 10.1007/s10440-009-9446-0Metadata
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