Abstract
Long before the theory of solitons, geometers used integrable equations to describe various special curves, surfaces etc. At that time no relation to mathematical physics was known, and quite different geometries appeared in this context (we will call them integrable) were unified by their common geometric features:
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Bobenko, A.I. (2006). GEOMETRY OF DISCRETE INTEGRABILITY. THE CONSISTENCY APPROACH. In: Faddeev, L., Van Moerbeke, P., Lambert, F. (eds) Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete. NATO Science Series, vol 201. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3503-6_5
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DOI: https://doi.org/10.1007/978-1-4020-3503-6_5
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