School of 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.
Recommended Citation
Bracken, Paul. "Connections of zero curvature and Bäcklund transformations." International Journal of Pure and Applied Mathematics 100.1 (2015): 95-108. doi.org/10.12732/ijpam.v100i1.9
Creative Commons 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