Motion of curves on two-dimensional surfaces and soliton equations
Physics Letters, Section A : General, Atomic and Solid State Physics
Elsevier BV * North - Holland
329 - 334
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A connection is established between the soliton equations and curves moving in a three-dimensional space V3. The signs of the self-interacting terms of the soliton equations are related to the signature of V3. It is shown that there corresponds a moving curve to each soliton equation.