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Conformal geometry of the (discrete) Schwarzian Davey-Stewartson II hierarchy

B. G. Konopelchenko·W. K. Schief
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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.

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B. G. Konopelchenko, W. K. Schief. 2003-12-12. Conformal geometry of the (discrete) Schwarzian Davey-Stewartson II hierarchy. https://arxiv.org/abs/nlin/0312030

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