School of Mathematical and Statistical Sciences Faculty Publications and Presentations
An Application of Prolongation Algebras to Determine Bäcklund Transformations for Nonlinear Equations
Document Type
Conference Proceeding
Publication Date
1-2015
Abstract
Prolongation algebras which are determined by applying a version of the Wahlquist-Estabrook method to three different nonlinear partial differential equations can be employed to obtain not only Lax pairs but Bäcklund transformations as well. By solving Maurer-Cartan equations for the related group specified by the prolongation algebra, a set of differential forms is obtained which can lead directly to these kinds of results. Although specific equations are studied, the approach should be applicable to large classes of partial differential equations.
Recommended Citation
Bracken, Paul. 2015. “An Application of Prolongation Algebras to Determine Bäcklund Transformations for Nonlinear Equations.” Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, January, 167–77. https://doi.org/10.7546/giq-16-2015-167-177.
Publication Title
Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization
DOI
10.7546/giq-16-2015-167-177
Comments
© 2015 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences