Motion of Curves on Two Dimensional Surfaces and Soliton Equations

Details Motion of Curves on Two Dimensional Surfaces and Soliton Equations Motion of Curves on Two Dimensional Surfaces and Soliton Equations

1998-02-27

arxiv.org/abs/solv-int/9803001v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 15 pp, to be published in Physics Letters A

Scientific paper

10.1016/S0375-9601(98)00151-0

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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