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A Bäcklund transformation for L-isothermic surfaces

Journal of physics. A, Mathematical and theoretical, 2009-10, Vol.42 (40), p.404015-404015 (12) [Peer Reviewed Journal]

ISSN: 1751-8121 ;ISSN: 1751-8113 ;EISSN: 1751-8121 ;DOI: 10.1088/1751-8113/42/40/404015

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  • Title:
    A Bäcklund transformation for L-isothermic surfaces
  • Author: Rogers, C ; Szereszewski, A
  • Is Part Of: Journal of physics. A, Mathematical and theoretical, 2009-10, Vol.42 (40), p.404015-404015 (12)
  • Description: It is established that a Backlund transformation for L-isothermic surfaces is associated with a Darboux transformation for a non-homogeneous linear Schrodinger 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 Schrodinger equation with a potential involving the Backlund parameter. A permutability theorem is presented whereby L-isothermic surfaces may be constructed and the action of the Backlund transformation on a class of generalized Dupin cyclides is considered.
  • Publisher: IOP Publishing
  • Language: English
  • Identifier: ISSN: 1751-8121
    ISSN: 1751-8113
    EISSN: 1751-8121
    DOI: 10.1088/1751-8113/42/40/404015
  • Source: Alma/SFX Local Collection

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