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arxiv: nlin/0607054 · v1 · submitted 2006-07-24 · 🌊 nlin.SI · nlin.PS

Bianchi surfaces. Integrability in arbitrary parametrization

classification 🌊 nlin.SI nlin.PS
keywords arbitrarybianchisurfacesequationsfieldintegrabilitynormalparametrization
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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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