Document Type

Article

Journal/Book Title/Conference

Advances in Mathematics

Volume

221

Issue

6

Publication Date

2009

First Page

1910

Last Page

1963

DOI

10.1016/j.aim.2009.03.010

Arxiv Identifier

arXiv:0708.0679v2

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.

Comments

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.

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