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math.DG2002★ 1 cited
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…
math.DG2001
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…
math.DG1998
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.