paper

Localized induction equation and pseudospherical surfaces

arXiv:solv-int/9406001 · doi:10.1088/0305-4470/27/15/029

Abstract

We describe a close connection between the localized induction equation hierarchy of integrable evolution equations on space curves, and surfaces of constant negative Gauss curvature.

21 pages, AMSTeX file. To appear in Journal of Physics A: Mathematical and General