IJPAM: Volume 100, No. 1 (2015)
AND BÄCKLUND TRANSFORMATIONS
Department of Mathematics
University of Texas
Edinburg, TX78540, USA
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.
Received: January 19, 2015
AMS Subject Classification: 53Z05, 57R99, 55R10, 53B50
Key Words and Phrases: connection, bundle, curvature, structure equations, Lax pair, Bäcklund
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DOI: 10.12732/ijpam.v100i1.9 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 95 -