1 citations · 1 across the 2 of their papers we have counts for
6 papers
Notes on dispersionful and dispersionless vortex filament equations in 1+1 and 2+1 dimensions
R. Myrzakulov
The vortex filament equations (VFE) in 1+1 and 2+1 dimensions are considered. Some of these equations are integrable. Also the VFE with potentials and with self-consistent potentia…
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…
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…
On the M-XX equation
R. Myrzakulov
The (2+1)-dimensional integrable M-XX equation is considered.
Integrable geometry and Soliton equations in 2+1 dimensions
R. Myrzakulov
Some aspects of the connection between differential geometry and multidimensional soliton equations are discussed.
Solitons, Surfaces, Curves, and the Spin Description of Nonlinear Evolution Equations
R. Myrzakulov
The briefly review on the common spin description of the nonlinear evolution equations.