Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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On the integrability problem for systems of partial differential equations in one unknown function, II

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Published Jun 25, 2019
DOI https://doi.org/10.15673/tmgc.v12i1.1366

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Antonio Kumpera
State University of Campinas Campinas
http://orcid.org/0000-0001-8290-4254

Abstract

We continue here our discussion of Part I, [18], by examining the local equivalence problem for partial differential equations and illustrating it with some examples, since almost any integration process or method is actually a local equivalence problem involving a suitable model. We terminate the discussion by inquiring on non-integrable Pfaffian systems and on their integral manifolds of maximal dimension.

Keywords:
Partial differential equations, Pfaffian system, contact structures, local equivalence

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How to Cite
Kumpera, A. (2019). On the integrability problem for systems of partial differential equations in one unknown function, II. Proceedings of the International Geometry Center, 12(1), 1-40. https://doi.org/10.15673/tmgc.v12i1.1366
Issue
Vol 12 No 1 (2019)
Section
Papers

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