Enter your search into one or more of the boxes below:
You can refine your search by selecting from any of the options below:
Local Jet Bundle Formulation of Backland Transformations: With Applications to Non-Linear Evolution Equations
Foyalty 212

Local Jet Bundle Formulation of Backland Transformations: With Applications to Non-Linear Evolution Equations (Paperback)

Printed to order. Despatched in 2-3 weeks.
Email me when back in stock


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.

Science & MathematicsScience: general issuesMaths for scientistsTechnicalEngineering & General TechnologyMaths for engineers Publisher: Springer Publication Date: 31/10/1979 ISBN-13: 9789027710369  Details: Type: Paperback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

More books by F. A. E. Pirani

More books by D. C. Robinson

More books by W. F. Shadwick

More books by etc.

Leave Review


Delivery Options

All delivery times quoted are the average, and cannot be guaranteed. These should be added to the availability message time, to determine when the goods will arrive. During checkout we will give you a cumulative estimated date for delivery.

Location 1st Book Each additional book Average Delivery Time
UK Standard Delivery FREE FREE 3-5 Days
UK First Class £4.50 £1.00 1-2 Days
UK Courier £7.00 £1.00 1-2 Days
Western Europe** Courier £17.00 £3.00 2-3 Days
Western Europe** Airmail £5.00 £1.50 4-14 Days
USA / Canada Courier £20.00 £3.00 2-4 Days
USA / Canada Airmail £7.00 £3.00 4-14 Days
Rest of World Courier £22.50 £3.00 3-6 Days
Rest of World Airmail £8.00 £3.00 7-21 Days

** Includes Austria, Belgium, Denmark, France, Germany, Greece, Iceland, Irish Republic, Italy, Luxembourg, Netherlands, Portugal, Spain, Sweden and Switzerland.

Delivery Help & FAQs

Returns Information

If you are not completely satisfied with your purchase*, you may return it to us in its original condition with in 30 days of receiving your delivery or collection notification email for a refund. Except for damaged items or delivery issues the cost of return postage is borne by the buyer. Your statutory rights are not affected.

* For Exclusions and terms on damaged or delivery issues see Returns Help & FAQs

You might also like

Is That a Big Number?
Andrew Elliott
Linear Algebra and Analytic Geometry...
Giovanni Landi; Alessandro Zampini
A Student's Guide to Infinite Series...
Bernhard W. Bach
A Student's Guide to Infinite Series...
Bernhard W. Bach
© W&G Foyle Ltd
Foyles uses cookies to help ensure your experience on our site is the best possible. Click here if you’d like to find out more about the types of cookies we use.
Accept and Close