@article {10.3844/jmssp.2010.52.55, article_type = {journal}, title = {Exterior Differential Systems for Higher Order Partial Differential Equations}, author = {Bracken, Paul}, volume = {6}, year = {2010}, month = {Mar}, pages = {52-55}, doi = {10.3844/jmssp.2010.52.55}, url = {https://thescipub.com/abstract/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.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }