Exterior Differential Systems for Higher Order Partial Differential Equations
Paul Bracken
Journal of Mathematics and Statistics, Volume 6, Issue 1, pp. 52–55 · doi.org/10.3844/jmssp.2010.52.55
Abstract
The theory of exterior differential systems is applied to study integrability of a set of related partial differential equations expressed in the terms of differential forms using Cartan's method. The Camassa-Holm equation and the Degasperis-Procesi equations are special cases that are described by these exterior differential systems. Some conservation laws are obtained in the cases of the more relevant equations. A closed differential ideal is constructed for each case studied.
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Bracken, P. (2010). Exterior Differential Systems for Higher Order Partial Differential Equations. Journal of Mathematics and Statistics, 6(1), 52–55. https://doi.org/10.3844/jmssp.2010.52.55
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