Superposition formulas for exterior differential systems |
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| Authors: | Ian M. Anderson Mark E. Fels |
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| Affiliation: | a Department of Mathematics and Statistics, Utah State University, Logan, UT 84322-3900, United States
b Faculty of Information Sciences and Engineering, University of Canberra, Canberra 2601, Australia |
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| 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. |
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| Keywords: | Exterior differential systems Superposition principle Darboux integrability Symmetry reduction |
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