Tangential symmetries of Darboux integrable systems

Details Tangential symmetries of Darboux integrable systems Tangential symmetries of Darboux integrable systems

2007-12-23

arxiv.org/abs/0712.3937v1

Mathematics

Differential Geometry

Scientific paper

In this paper we analyze the tangential symmetries of Darboux integrable decomposable exterior differential systems. The decomposable systems generalize the notion of a hyperbolic exterior differential system and include the classic notion of Darboux integrability for first order systems and second order scalar equations. For Darboux integrable systems the general solution can be found by integration (solving ordinary differential equations). We show that this property holds for our generalized systems as well. We give a geometric construction of the Lie algebras of tangential symmetries associated to the Darboux integrable systems. This construction has the advantage over previous constructions that our construction does not require the use of adapted coordinates and works for arbitrary dimension of the underlying manifold. In particular it works for the prolongations of decomposable exterior differential systems.

Affiliated with

Also associated with

No associations

Rating

Tangential symmetries of Darboux integrable systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tangential symmetries of Darboux integrable systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tangential symmetries of Darboux integrable systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-36459