Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/8788
Title: A Bäcklund transformation for L-isothermic surfaces
Authors: Rogers, C
Szereszewski, A
Issue Date: 2009
Publisher: IOP Publishing Ltd
Source: Journal of physics a : mathematical and theoretical, 2009, v. 42, no. 40, 404015 How to cite?
Journal: Journal of Physics A: Mathematical and Theoretical 
Abstract: It is established that a Bäcklund transformation for L-isothermic surfaces is associated with a Darboux transformation for a non-homogeneous linear Schrödinger equation. A Lax pair for L-isothermic surfaces is presented and it is shown that a quartet of eigenfunctions contained therein may be explicitly represented in terms of linearly independent solutions of a linear Schrödinger equation with a potential involving the Bäcklund parameter. A permutability theorem is presented whereby L-isothermic surfaces may be constructed and the action of the Bäcklund transformation on a class of generalized Dupin cyclides is considered.
URI: http://hdl.handle.net/10397/8788
DOI: 10.1088/1751-8113/42/40/404015
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

2
Last Week
0
Last month
0
Citations as of Nov 22, 2017

WEB OF SCIENCETM
Citations

4
Last Week
0
Last month
0
Citations as of Nov 15, 2017

Page view(s)

42
Last Week
1
Last month
Checked on Nov 19, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.