On equivalence of differential equations

Authors

  • Boris Kruglikov University of Tromsø
  • Valentin Lychagin University of Tromsø

DOI:

https://doi.org/10.12697/ACUTM.1999.03.02

Keywords:

Cartan distribution, curvature, Cartan and Bott connections, metasymplectic transformations, Weyl tensor in Spencer cohomology group, prolongations of PDE equivalences

Abstract

In this paper we investigate the equivalence of nonlinear partial differential equations. We consider PDEs as submanifolds of the jet bundles and study the restriction of the Cartan and the metasymplectic structures on the equation. They generate curvature-like invariants of the differential equation. We formulate our equivalence theorems in terms of these invariants.

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Author Biographies

Boris Kruglikov, University of Tromsø

Department of Mathematics and Statistics

Valentin Lychagin, University of Tromsø

Department of Mathematics and Statistics

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Published

1999-12-31

Issue

Vol. 3 (1999)

Section

Articles