3 papers
nlin.SI2026
Integrable Zhaidary equations: reductions and gauge equivalence
Zh. Sagidullayeva, K. Yesmakhanova, R. Myrzakulov +5
The present work addresses the study and characterization of the integrability of some generalized spin systems (ISS) in 1+1 dimensions. Lax representations for these ISS are succe…
nlin.SI2025
Integrability, geometry and wave solutions of some Kairat equations
Zh. Myrzakulova, S. Manukure, R. Myrzakulov +1
In this paper, we study some Kairat equations. The relation between the motion of curves and Kairat equations is established. The geometrical equivalence between the Kairat-I equat…
nlin.SI2025
Integrable Kuralay equations: geometry, solutions and generalizations
Z. Sagidullayeva, G. Nugmanova, R. Myrzakulov +1
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 equ…