VECTORIAL RIBAUCOUR TRANSFORMATIONS FOR THE LAME EQUATIONS

Authors
LIU QP MANAS M
Citation
Qp. Liu et M. Manas, VECTORIAL RIBAUCOUR TRANSFORMATIONS FOR THE LAME EQUATIONS, Journal of physics. A, mathematical and general, 31(10), 1998, pp. 193-200
Citations number
19
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
10
Year of publication
1998
Pages
193 - 200
Database
ISI
SICI code
0305-4470(1998)31:10<193:VRTFTL>2.0.ZU;2-2
Abstract
The vectorial extension of the Ribaucour transformation for the Lame e quations bf orthogonal conjugate nets in multidimensions is given. We show that the composition of two vectorial Ribaucour transformations w ith appropriate transformation data is again a vectorial Ribaucour tra nsformation, from which follows the permutability of the vectorial Rib aucour transformations. Finally, as an example we apply the vectorial Ribaucour transformation to the Cartesian background.