Vectorial Ribaucour Transformations for the Lame Equations
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
Abstract
The vectorial extension of the Ribaucour transformation for the Lame equations of orthogonal conjugates nets in multidimensions is given. We show that the composition of two vectorial Ribaucour transformations with appropriate transformation data is again a vectorial Ribaucour transformation, from which it follows the permutability of the vectorial Ribaucour transformations. Finally, as an example we apply the vectorial Ribaucour transformation to the Cartesian background.
Cite
@article{arxiv.solv-int/9710014,
title = {Vectorial Ribaucour Transformations for the Lame Equations},
author = {Q. P. Liu and Manuel Manas},
journal= {arXiv preprint arXiv:solv-int/9710014},
year = {2009}
}
Comments
12 pages. LaTeX2e with AMSLaTeX packages