26 citations · 45 across the 8 of their papers we have counts for
8 papers
Differential geometry of surfaces and Heisenberg ferromagnets
H. S. Serikbaev, Kur. Myrzakul, F. K. Rahimov
The relation between differential geometry of surfaces and some Heisenberg ferromagnet models is considered.
A note on the generalized Weierstrass representation
L. Martina, Kur. Myrzakul, R. Myrzakulov
The study of the relation between the Weierstrass inducing formulae for constant mean curvature surfaces and the completely integrable euclidean nonlinear sigma-model suggests a co…
Deformation of surfaces, integrable systems and Self-Dual Yang-Mills equation
T. A. Kozhamkulov, Kuralay Myrzakul, R. Myrzakulov
We conjecture that many (maybe all) integrable equations and spin systems in 2+1 dimensions can be obtained from the (2+1)-dimensional Gauss-Mainardi-Codazzi and Gauss-Weingarten e…
Geometry and integrability of the M-LXIX equation
Kuralay Myrzakul, R. Myrzakulov
The L-equivalent counterpart of the M-LXIX equation is found. This L-equivalent equation is the Gauss-Codazzi equation which is integrable by the dressing method. This means that t…
Integrability of the Gauss-Codazzi-Mainardi equation in 2+1 dimensions
R. Myrzakulov, Kur. Myrzakul
Integrability of the (2+1)-dimensional Gauss-Codazzi-Mainardi equation is considered. It is shown that this equation is the particular cases of the Yang-Mills-Higgs-Bogomolny and s…
Deformation surfaces, integrable systems and Chern - Simons theory
L. Martina, Kur. Myrzakul, R. Myrzakulov +1
A few years ago, some of us devised a method to obtain integrable systems in (2+1)-dimensions from the classical non-Abelian pure Chern-Simons action via reduction of the gauge con…