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Motion of Curves on Two Dimensional Surfaces and Soliton Equations

Metin Gurses
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Abstract

A connection is established between the soliton equations and curves moving in a three dimensional space $V_{3}$. The sign of the self-interacting terms of the soliton equations are related to the signature of $V_{3}$. It is shown that there corresponds a moving curve to each soliton equations.

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Metin Gurses. 1998-02-27. Motion of Curves on Two Dimensional Surfaces and Soliton Equations. https://doi.org/10.1016/s0375-9601(98)00151-0

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