Superposition Formulas for Darboux Integrable Exterior Differential Systems

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dc.creatorAnderson, I. M.
dc.creatorFels, M. E.
dc.creatorVassiliou, P. J.
dc.date2007-08-05
dc.date2008-06-11
dc.date.accessioned2026-07-07T09:43:27Z
dc.date.available2026-07-07T09:43:27Z
dc.descriptionIn 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.
dc.description80 page report. Updated version with some new sections, and major improvements to others
dc.identifierhttps://arxiv.org/abs/0708.0679
dc.identifierhttp://arxiv.org/abs/0708.0679
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162564
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject58A15, 58A17, 35A30
dc.titleSuperposition Formulas for Darboux Integrable Exterior Differential Systems
dc.typetext

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