Integrable Motion of Curves, Spin Equation and Camassa-Holm Equation
arXiv:1907.10910
Abstract
In the present paper, we investigate some geometrical properties of the Camass-Holm equation (CHE). We establish the geometrical equivalence between the CHE and the M-CIV equation using a link with the motion of curves. We also show that these two equations are gauge equivalent each to other.
12 pages