Article
Superposition Formulas for Darboux Integrable Exterior Differential Sys-tems
Advances in Mathematics
Document Type
Article
Publication Date
1-1-2009
Arxiv Identifier
arXiv:0708.0679v2
Disciplines
Abstract
In this article we solve an inverse problem in the theory of quotients for differential equations. We characterize a family of exterior differential systems that can be written as a quotient of a direct sum of two associated systems that are constructed from the original. The fact that a system can be written as a quotient can be used to find the general solution to these equations. Some examples are given to demonstrate the theory.
Citation Information
Ian M. Anderson, Mark E. Fels, Peter J. Vassiliou, Superposition formulas for exterior differential systems, Advances in Mathematics, Volume 221, Issue 6, 20 August 2009, Pages 1910-1963, ISSN 0001-8708, 10.1016/j.aim.2009.03.010.
Published by Elsevier in Advances in Mathematics. Authors post print deposited in arXiv.org under title Superposition Formulas for Darboux Integrable Exterior Differential Systems and is available for download through link above.