Superposition Formulas for Exterior Differential Systems

Authors

Ian M. Anderson, Utah State UniversityFollow
Mark E. Fels, Utah State UniversityFollow
P. J. Vassiliou

Document Type

Article

Journal/Book Title/Conference

Advances in Mathematics

Volume

221

Publication Date

2009

First Page

1910

Last Page

1963

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.

Recommended Citation

Superposition Formulas for Exterior Deferential Systems I.M. Anderson, M.E. Fels, P.J. Vassiliou, Advances in Mathematics 221, 2009, 1910-1963.