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

Authors :
Boris Konopelchenko
Wolfgang K. Schief
Source :
Glasgow Mathematical Journal. 47:121-131
Publication Year :
2005
Publisher :
Cambridge University Press (CUP), 2005.

Abstract

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.

Subjects

Subjects :
Pure mathematics
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Hierarchy (mathematics)
Integrable system
General Mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
Mathematics::Differential Geometry
Computer Science::Computational Geometry
Nonlinear Sciences::Pattern Formation and Solitons
Conformal geometry
Mathematics
Interpretation (model theory)

Details

ISSN :
1469509X and 00170895
Volume :
47
Database :
OpenAIRE
Journal :
Glasgow Mathematical Journal
Accession number :
edsair.doi...........0a7dd96cbecfd33e280e7be115451dc5
Full Text :
https://doi.org/10.1017/s001708950500234x
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