Bäcklund Transformations and Darboux Integrability for Nonlinear Wave Equations
Jeanne N. Clelland and Thomas A. Ivey
Source: Asian J. Math. Volume 13, Number 1 (2009), 15-64.
Abstract
We prove that second-order Monge-Ampère equations for one function of two variables are connected to the wave equation by a Bäcklund transformation if and only if they are integrable by the method of Darboux at second order.
Primary Subjects: 37K35, 58J72
Secondary Subjects: 35L10, 37K35, 53C10, 58A15
Keywords: Bäcklund transformations; hyperbolic Monge-Ampère systems; exterior differential systems; Cartan’s method of equivalence
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ajm/1240496433
Asian Journal of Mathematics
