Abstract
The problem of characterising completely integrable nonlinear partial differential equation (p.d.e) among all p.d.e. is a major current problem in nonlinear dynamics. It is widely believed that the Painlevé property·is a key to the ultimate resolution of this problem. This paper suggests an alternative approach to the characterisation problem which relies on a study of the geometry of differential operator spaces.
Information
Published: 1 January 1994
First available in Project Euclid: 18 November 2014
zbMATH: 0843.35119
MathSciNet: MR1332517
Rights: Copyright © 1994, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
