Integrable Kuralay equations: geometry, solutions and generalizations
Exactly Solvable and Integrable Systems
2025-08-20 v4
Abstract
In this paper, we study the Kuralay equations, namely, the Kuralay-I equation (K-IE) and the Kuralay-II equation (K-IIE). The integrable motion of space curves induced by these equations is investigated. The gauge equivalence between these two equations is established. With the help of the Hirota bilinear method, the simplest soliton solutions are also presented. The nonlocal and dispersionless versions of the K-IE and K-IIE are considered.
Cite
@article{arxiv.2206.05348,
title = {Integrable Kuralay equations: geometry, solutions and generalizations},
author = {Z. Sagidullayeva and G. Nugmanova and R. Myrzakulov and N. Serikbayev},
journal= {arXiv preprint arXiv:2206.05348},
year = {2025}
}
Comments
22 pages