Mathematical and Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

2015

Abstract

Zero curvature connections in a principal bundle are introduced. It is shown that such connections are very useful in formulating the Bäcklund problem and in constructing transformations. A general technique can be proposed for producing such transformations by defining the relevant connection coefficients appropriately. Finally, several applications of this work to various types of nonlinear partial differential equations will be presented.

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

International Journal of Pure and Applied Mathematics

DOI

10.12732/ijpam.v100i1.9

Included in

Mathematics Commons

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