Bianchi surfaces. Integrability in arbitrary parametrization

Details Bianchi surfaces. Integrability in arbitrary parametrization Bianchi surfaces. Integrability in arbitrary parametrization

2006-07-24

arxiv.org/abs/nlin/0607054v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

We discuss integrability of normal field equations of arbitrary parametrised
Bianchi surfaces. A novel geometric definition of Bianchi surfaces is presented
as well as B\"acklund transformation for the normal field equations in
arbitrary chosen surface parametrization.

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