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CONFORMAL GEOMETRY OF THE (DISCRETE) SCHWARZIAN DAVEY-STEWARTSON II HIERARCHY

Published online by Cambridge University Press:  14 July 2005

B. G. KONOPELCHENKO  and
W. K. SCHIEF
B. G. KONOPELCHENKO
Affiliation:
Dipartimento di Fisica, Università di Lecce and Sezione INFN, 73100 Lecce, Italy
W. K. SCHIEF
Affiliation:
School of Mathematics, The University of New South Wales, Sydney, NSW 2052, Australia
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Abstract

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The conformal geometry of the Schwarzian Davey-Stewartson II hierarchy and its discrete analogue is investigated. Connections with discrete and continuous isothermic surfaces and generalised Clifford configurations are recorded. An interpretation of the Schwarzian Davey-Stewartson II flows as integrable deformations of conformally immersed surfaces is given.

Keywords

53A3035Q58
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue A , June 2005 , pp. 121 - 131
Copyright
2005 Glasgow Mathematical Journal Trust