Exterior Differential Systems for Higher Order Partial Differential Equations | Science Publications

Journal of Mathematics and Statistics

Paul Bracken¹ 

关键词: Differential form;    partial differential equation;    integrability;    Camassa-Holm;   

DOI  :  10.3844/jmssp.2010.52.55

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

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.

【 授权许可】

Unknown