Integrable Flows of Curves/Surfaces, Generalized Heisenberg Ferromagnet Equation and Complex Coupled Dispersionless Equation
Exactly Solvable and Integrable Systems
2018-12-06 v1
Abstract
In the present paper, we study the Myrzakulov-XIII (M-XIII) equation geometrically. From the geometric point of view, we establish a link of the M-XIII equation with the motion of space curves in the 3-dimensional space . We also show that the complex coupled dispersionless (CCD) equation can be derived from the geometrical formalism such that their curve flows are formulated. Finally, the gauge equivalence between the M-XIII equation and the CCD equation is established.
Keywords
Cite
@article{arxiv.1812.02152,
title = {Integrable Flows of Curves/Surfaces, Generalized Heisenberg Ferromagnet Equation and Complex Coupled Dispersionless Equation},
author = {Guldana Bekova and Kuralay Yesmakhanova and Gaukhar Shaikhova and Gulgassyl Nugmanova and Ratbay Myrzakulov},
journal= {arXiv preprint arXiv:1812.02152},
year = {2018}
}
Comments
13 pages