Motion of Curves on Two Dimensional Surfaces and Soliton Equations
  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. 
Metin Gurses (Bilkent University)