TY  - JOUR
AU  - Bracken, Paul 
PY  - 2010
TI  - Exterior Differential Systems for Higher Order Partial Differential Equations
JF  - Journal of Mathematics and Statistics
VL  - 6
IS  - 1
DO  - 10.3844/jmssp.2010.52.55
UR  - https://thescipub.com/abstract/jmssp.2010.52.55
AB  - 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.