SEQUENCES OF LEVY TRANSFORMATIONS AND MULTI-WRONSKI DETERMINANT SOLUTIONS OF THE DARBOUX SYSTEM

Authors
LIU QP MANAS M
Citation
Qp. Liu et M. Manas, SEQUENCES OF LEVY TRANSFORMATIONS AND MULTI-WRONSKI DETERMINANT SOLUTIONS OF THE DARBOUX SYSTEM, Journal of geometry and physics, 27(3-4), 1998, pp. 178-184
Citations number
14
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics,"Physycs, Mathematical
Journal title
Journal of geometry and physics → ACNP
ISSN journal
03930440
Volume
27
Issue
3-4
Year of publication
1998
Pages
178 - 184
Database
ISI
SICI code
0393-0440(1998)27:3-4<178:SOLTAM>2.0.ZU;2-0
Abstract
Sequences of Levy transformations for the Darboux system of conjugates nets in multidimensions are studied. We show that after a suitable nu mber of Levy transformations, with at least a Levy transformation in e ach direction, we get closed formulae in terms of multi-Wronski determ inants. These formulae are for the tangent vectors, Lame coefficients, rotation coefficients and points of the surface. (C) 1998 Elsevier Sc ience B.V.