Motion of Curves on Two Dimensional Surfaces and Soliton Equations
نویسنده
چکیده
A connection is established between the soliton equations and curves moving in a three dimensional space V3. The sign of the selfinteracting terms of the soliton equations are related to the signature of V3. It is shown that there corresponds a moving curve to each soliton equations.
منابع مشابه
A ( 2 + 1 ) - dimensional integrable spin model ( the M - XXII equation ) and Differential geometry of curves / surfaces
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