Reduced Vectorial Ribaucour Transformation for the Darboux-Egoroff Equations

Details Reduced Vectorial Ribaucour Transformation for the Darboux-Egoroff Equations Reduced Vectorial Ribaucour Transformation for the Darboux-Egoroff Equations

1998-05-11

arxiv.org/abs/solv-int/9805005v1

Physics

Mathematical Physics

15 pages LaTeX2e with AMSLaTeX and Babel packages

Scientific paper

The vectorial fundamental transformation for the Darboux equations is reduced to the symmetric case. This is combined with the orthogonal reduction of Lame type to obtain those vectorial Ribaucour transformations which preserve the Egoroff reduction. We also show that a permutability property holds for all these transformations. Finally, as an example, we apply these transformations to the Cartesian background.

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