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Integrable Motion of Curves, Spin Equation and Camassa-Holm Equation by Mussatayeva, Assem; Myrzakul, Tolkynay; Nugmanova, Gulgassyl; Yesmakhanova, Kuralay; Myrzakulov, Ratbay is a scholarly article available to read on EtoBox.

What is Integrable Motion of Curves, Spin Equation and Camassa-Holm Equation about?

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.

Author

Mussatayeva, Assem; Myrzakul, Tolkynay; Nugmanova, Gulgassyl; Yesmakhanova, Kuralay; Myrzakulov, Ratbay

Published

2019

Language

EN