How Long to Read Local Jet Bundle Formulation of Bäckland Transformations

How Long Does it Take to Read Local Jet Bundle Formulation of Bäckland Transformations?

It takes the average reader 2 hours and 22 minutes to read Local Jet Bundle Formulation of Bäckland Transformations by F.A.E. Pirani

Assuming a reading speed of 250 words per minute. Learn more

Description

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.

How long is Local Jet Bundle Formulation of Bäckland Transformations?

Local Jet Bundle Formulation of Bäckland Transformations by F.A.E. Pirani is 138 pages long, and a total of 35,604 words.

This makes it 47% the length of the average book. It also has 44% more words than the average book.

How Long Does it Take to Read Local Jet Bundle Formulation of Bäckland Transformations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 14 minutes to read Local Jet Bundle Formulation of Bäckland Transformations aloud.

What Reading Level is Local Jet Bundle Formulation of Bäckland Transformations?

Local Jet Bundle Formulation of Bäckland Transformations is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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