Integrable Motion of Curves, Spin Equation and Camassa-Holm Equation
Exactly Solvable and Integrable Systems
2019-07-26 v1
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.
Cite
@article{arxiv.1907.10910,
title = {Integrable Motion of Curves, Spin Equation and Camassa-Holm Equation},
author = {Assem Mussatayeva and Tolkynay Myrzakul and Gulgassyl Nugmanova and Kuralay Yesmakhanova and Ratbay Myrzakulov},
journal= {arXiv preprint arXiv:1907.10910},
year = {2019}
}
Comments
12 pages