Motion of curves on two-dimensional surfaces and soliton equations

Date

1998

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Abstract

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.

Source Title

Physics Letters, Section A : General, Atomic and Solid State Physics

Publisher

Elsevier BV * North - Holland

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Published Version (Please cite this version)

Language

English