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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…
Soliton equations in N-dimensions as exact reductions of Self-dual Yang-Mills equation III. Soliton geometry in 2+1 and 3+1 dimensions
Kur. R. Myrzakul, R. Myrzakulov
Some aspects of the relation between differential geometry of curves and surfaces and multidimensional soliton equations is discussed. The connection between multidimensional solit…
The L-equivalent counterpart of the M-III equation
R. Myrzakulov, A. K. Danlybaeva
The connection between differential geometry of curves and the (2+1)-dimensional integrable spin system - the M-III equation is established. Using the presented geometrical formali…
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.