Vectorial Ribaucour Transformations for the Lame Equations

Details Vectorial Ribaucour Transformations for the Lame Equations Vectorial Ribaucour Transformations for the Lame Equations

1997-10-21

arxiv.org/abs/solv-int/9710014v1

J. Phys. A: Math. & Gen. 31 (1998) L193

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages. LaTeX2e with AMSLaTeX packages

Scientific paper

10.1088/0305-4470/31/10/003

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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