The aim of this paper is to show that the theory of jet bundles supplies the appropriate setting for the study of Backlund trans- formations. These transformations are used to solve certain partial differential equations, particularly non-linear evolution equations. Of course jets have been employed for some time in the theory of partial differential equations, but so far little use has been made of them in applications. In the meanwhile, substantial progress has been made in the study of non-linear evolution equations. ...
Read More
The aim of this paper is to show that the theory of jet bundles supplies the appropriate setting for the study of Backlund trans- formations. These transformations are used to solve certain partial differential equations, particularly non-linear evolution equations. Of course jets have been employed for some time in the theory of partial differential equations, but so far little use has been made of them in applications. In the meanwhile, substantial progress has been made in the study of non-linear evolution equations. This work has been encouraged by the dis- covery of remarkable properties of some such equations, for example the existence of soliton solutions and of infinite se- quences of conservation laws. Among the techniques devised to deal with these equations are the inverse scattering method and the Backlund transformation. In our opinion the jet bundle formulation offers a unifying geometrical framework for under- standing the properties of non-linear evolution equations and the techniques used to deal with them, although we do not consider all of these properties and techniques here. The relevance of the theory of jet bundles lS that it legitimates the practice of regarding the partial derivatives of field variables as independent quantities. Since Backlund trans- formations require from the outset manipulation of these partial derivatives, and repeated shifts of point of view about which variables are dependent on which, this geometrical setting clari- fies and simplifies the concepts involved, and offers the prospect of bringing coherence to a variety of disparate results.
Read Less
Add this copy of Local Jet Bundle Formulation of B? ? Ckland Transform to cart. $43.98, new condition, Sold by Educational Media Centre rated 4.0 out of 5 stars, ships from New Delhi, DELHI, INDIA, published 1979 by Springer.
Add this copy of Local Jet Bundle Formulation of B? ? Ckland Transform to cart. $49.33, new condition, Sold by Educational Media Centre rated 4.0 out of 5 stars, ships from New Delhi, DELHI, INDIA, published 1979 by Springer.
Add this copy of Local Jet Bundle Formulation of Bäckland to cart. $59.00, good condition, Sold by The Bookseller rated 4.0 out of 5 stars, ships from Edmonton, AB, CANADA, published 1979 by D. Reidel Publishing.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Very Good- Book. 8vo-over 7¾"-9¾" tall. A little shelf wear. Covers have been neatly laminated. Owner stamps on inside front cover. Otherwise a square, tight, unmarked book. 132 pp.
Add this copy of Local Jet Bundle Formulation of B? ? Ckland Transform to cart. $62.95, new condition, Sold by Basi6 International rated 5.0 out of 5 stars, ships from Irving, TX, UNITED STATES, published 1979 by Springer.
Add this copy of Local Jet Bundle Formulation of Bäckland to cart. $93.99, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1979 by Springer.
Add this copy of Local Jet Bundle Formulation of Bäckland to cart. $122.00, new condition, Sold by Just one more Chapter rated 4.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 1979 by Springer.
Add this copy of Local Jet Bundle Formulation of Bäckland to cart. $174.76, new condition, Sold by GridFreed rated 5.0 out of 5 stars, ships from San Diego, CA, UNITED STATES, published 1979 by Springer.
