Mathematics – Differential Geometry
Scientific paper
2007-08-05
Mathematics
Differential Geometry
80 page report. Updated version with some new sections, and major improvements to others
Scientific paper
In this paper we present a far-reaching generalization of E. Vessiot's analysis of the Darboux integrable partial differential equations in one dependent and two independent variables. Our approach provides new insights into this classical method, uncovers the fundamental geometric invariants of Darboux integrable systems, and provides for systematic, algorithmic integration of such systems. This work is formulated within the general framework of Pfaffian exterior differential systems and, as such, has applications well beyond those currently found in the literature. In particular, our integration method is applicable to systems of hyperbolic PDE such as the Toda lattice equations, 2 dimensional wave maps and systems of overdetermined PDE.
Anderson Ian M.
Fels Mark E.
Vassiliou Peter J.
No associations
LandOfFree
Superposition Formulas for Darboux Integrable Exterior Differential 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 Superposition Formulas for Darboux Integrable Exterior Differential Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Superposition Formulas for Darboux Integrable Exterior Differential Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-533840