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arXiv · solv-int/9710014

Vectorial Ribaucour Transformations for the Lame Equations

Q. P. Liu·Manuel Manas
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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.

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Q. P. Liu, Manuel Manas. 1997-10-21. Vectorial Ribaucour Transformations for the Lame Equations. https://doi.org/10.1088/0305-4470%2F31%2F10%2F003

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